Bredda Tenderhide

All beast team:

[npc=64248] - 2 1 2
[npc=93143] - 2 2 2
[npc=53884] - 1 1 2

Turn 1: Chew
Turn 2-4: Stampede
Bring in your Cinder Pup
Turn 1: Crouch
Turn 2-: Flame Breath until Quillino is dead
Fethyr comes in
Turn 1: Crouch
Turn 2-: Flame Breath until your Cinder Pup dies
Bring in your Feline Familiar
Turn 1: Stoneskin
Turn 2: Prowl
Turn 3-: Onyx Bite until Fethyr is dead

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All dragons team:

[npc=68662] - 1 1 2
[npc=68845] - 1 1 2
[npc=62395] - 2 2 1

Turn 1: Bite
Turn 2: Howl
Turn 3-5: Surge of Power
Quillino comes in and your Chrominius dies
Bring in your Nexus Whelpling
Turn 1: Arcane Storm
Turn 2: Tail Sweep
Turn 3: Tail Sweep
Turn 4: Sear Magic
Turn 5-: Tail Sweep until Quillino dies
Fethyr comes in
Turn 1: Pass
Turn 2: Arcane Storm
Turn 3-: Tail Sweep until your Nexus Whelpling dies
Bring in your Nether Faerie Dragon
Turn 1: Moonfire
Turn 2-: Arcane Blast until Fethyr is dead

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All mechanical team:

[npc=77221] - 1 1 1
[npc=64899] - 1 1 2
[npc=69778] - 1 1 2

Turn 1: Wind-Up
Turn 2: Supercharge
Turn 3: Wind-Up - Lil' Spirit Guide resurrects
Turn 4: Wind-Up - Lil' Spirit Guide dies
Quillino comes in
Turn 1: Wind-Up
Turn 2: Pass - your Iron Starlette dies
Bring in your Pandaren Dragonling
Turn 1: Decoy
Turn 2-: Breath until Quillino is dead
Fethyr comes in
Turn 1: Pass
Turn 2: Bombing Run
Turn 3-: Breath until your Mechanical Pandaren Dragonling is dead
Bring in your Sunreaver Micro-Sentry
Turn 1-: When Fethyr lifts off, use Extra Plating else use Laser

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All undead team:

[npc=83817] - 1 2 1
[npc=62854] - 1 1 2
[npc=29147] - 1 2 1

Turn 1: Ethereal
Turn 2: Hoof
Turn 3: Hoof
Turn 4: Hoof
Turn 5: Ethereal
Turn 6-: Hoof until the Lil' Spirit Guide is dead
Quillino comes in
Turn 1: Ghostly Bite - unless your Summit Kid is already dead, then bring in your Scourged Whelpling
Turn 2: Shadowflame
Turn 3: Call Darkness
Turn 4-: Shadowflame until Quillino is dead
Fethyr comes in
Turn 1: Dreadful Breath
Turn 2-: Shadowflame until you enter your undead round and do Call Darkness
Bring in your Ghostly Skull
Turn 1: Spectral Strike
Turn 2-: Shadow Slash until Fethyr is dead

From Thunder Totem, exit to the southeast and turn right before crossing the bridge. Follow the path up the mountain and she'll be standing next to some teepees.

Training with Bredda is randomly available in Highmountain (47.72, 69.05) and only visible if you've unlocked World Quests.
Rewards will vary.

Bredda Tenderhide will have the following team (all level 25 epics):

1. [npc=99085]

undead

[pet-ability=210]

[pet-ability=178]

[pet-ability=476]

2. [npc=99086]

magic

[pet-ability=566]

[pet-ability=442]

[pet-ability=913]

3. [npc=99084]

flying

[pet-ability=202]

[pet-ability=1545]

[pet-ability=170]

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A general note about Quillino's [pet-ability=913]:

• 
  
• This spell has a 50% chance to make a pet [pet-ability=462]. When [pet-ability=462], hit is reduced to 50%. When [pet-ability=462], [pet-ability=442]'s hit chance increases to 100%. This can wreak havoc with RNG.
• Different pet families have better/worse rotations to combat this scenario, so any comment/strategy from any of us has the potential to be impacted by this 50% chance to blind and 50% chance, while blinded, to miss.

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World Quest Team: [npc=24480] (2,1,2) | [npc=64899] (1,2,2) | [npc=68850] (2,2,2) (alts)
This is a standard set of "super counters" for Bredda's team (ie. families that take reduced damage that have attacks that do bonus damage). Any similar frog with speed > 280 can be substituted. HazelNutty has a similar strat minus the EPW to use for leveling (here).
.

vs. Lil Spirit Guide

• [pet-ability=232]
• [pet-ability=228] until undead round (~3, depending on frog)
• Undead: reapply [pet-ability=232]

vs. Quillino (rotation: Spine > Strike > Powerball x2)

• [pet-ability=228] until frog dies (1-2)
• Bring in MPD
• Use [pet-ability=334] the same round as Quill's 2nd Powerball
• [pet-ability=115] to fill

vs. Fethyr

• [pet-ability=779] on CD
• [pet-ability=115] until MPD dies
• Bring in EPW, Prioritize:
  1. [pet-ability=597] (refresh with 1 remaining)
  2. [pet-ability=598] ~50% HP
  3. [pet-ability=525]
  

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Bredda is part of Family Familiar
(Use the Spoiler tags to view the strats as they're developed/linked.)

Aquatic: Aquatic Acquiescence

• Team: [npc=61071] (2,1,2) (speed > 280, alts) | [npc=71017] (1,?,2) | [npc=82045] (1,1,1)
  Strategy: here | Credit: Fritaz

OP used a [npc=69819] (2,2,2), but a frog with speed > 280 is more advantageous. I commented to outline the attack order for that substitution.

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Beast: Best of the Beasts
- Team: [npc=64248] (2,1,2) | [npc=93143] (2,2,2) | [npc=53884] (1,1,2)
Strategy: here (multiple strategy post, look for "All Beast Team") | Credit: Pwuebear

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Critter: Mousing Around

• Team: [npc=32791] (2,2,1) (alts) | [npc=61328] (1,2,1) (alt) | [npc=64352] (1,2,?) (alts)
  Strategy: here (multiple strategy post, look for "Mousing Around") | Credit: Patrask

OP didn't list specific rabbits or snails, so anything on the lists of alts should work equally well (let me know if there are breed issues, though). If you're struggling with RNG here, Borelia suggests an alternate attack order for the first match-up that might help.

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Dragonkin: Dragons!

• Team: [npc=68662] (1,1,2) | [npc=77021] (1,2,2) | [npc=68845] (1,2,2)
  Strategy: here | Credit: therabbit86ed

Commenters on the OP have provided a lot of options for alternates to the 2nd and 3rd pets listed.

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Elemental: Ragnaros, Watch and Learn
- Team: [npc=36871] (1,2,2) | [npc=84915] (2,1,1) | [npc=71018] (1,2,1) (alt)
As with all strategies vs. this tamer, this is not a 100% fight, but it's consistent-ish.

Spoiler

Restart if Core Hound Pup dies before Lil Spirit Guide's undead round.

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vs. Lil Spirit Guide

• [pet-ability=312]
• [pet-ability=159] (down/up)
• [pet-ability=119] until Spirit dies (usually 2)
• [pet-ability=312] during Spirit's Undead round

vs. Quillino

• (unlikely) [pet-ability=119] until Core Hound dies
• Bring in Molten Corgi
• [pet-ability=1357]
• [pet-ability=1354]
• [pet-ability=503]
• If blinded, [pet-ability=503] - otherwise [pet-ability=1357]
• [pet-ability=503] until Quillino dies
  (If Corgi dies before Quillino (worst RNG) - have Toxic Waveling cast [pet-ability=447] then [pet-ability=445]. Open with [pet-ability=123] vs. Fethyr.)

vs. Fethyr

• [pet-ability=503] until Corgi dies
• Bring in Toxic Waveling
• [pet-ability=447], reapply as needed
• [pet-ability=123] if needed
• [pet-ability=445] to fill until Fethyr dies

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Flying: Flock Together
- Team: [npc=21076] (1,2,1) (speed > 280, alts) | [npc=81431] (2,2,2) | [npc=86447] (1,1,1)
Strategy: here | Credit: Rikade

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Humanoid: Murlocs, Harpies, and Wolvar, Oh My!

• Option 1: Team: [npc=68846] (2,2,2) | [npc=68659] (1,1,1) | [npc=90214] (2,2,1)
  Strategy: here | Credit: Rikade
• 
  
• Option 2: [npc=64632] (2,1,1) (alt) | [npc=62555] (2,2,2) | [npc=68665] (1,2,2)
  Strategy: here | Credit: Borelia

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Magic: Master of Magic
- Team: [npc=15429] (2,1,2) | [npc=38374] (2,1,2) | [npc=62697] (2,1,1)
Alternate ooze-/slime-/waste-lings (various breeds) here.

Spoiler

Please let me know if there is a breed issue with this strat. I've been trying for a few hours with different oozes (forfeiting before Fethyr dies) and the strat has been around 90% so far, depending on Quill.

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vs. Lil' Spirit Guide

• [pet-ability=369]
• [pet-ability=447]
• [pet-ability=449] through undead round (3-4)

vs. Quillino

• 1st Ooze: Pass/Any (you'll die) | 2nd Ooze: see below
• Bring in 2nd Ooze
• [pet-ability=369] - if 1st ooze died early and this misses, consider restarting fight
• [pet-ability=447] - if 1st ooze died early and this misses, consider restarting fight
• [pet-ability=449] x2
• Repeat 2nd Ooze rotation until Quill dies (usually 1.5).

vs. Fethyr

• Pass/Any (Fethyr will start with [pet-ability=170])
• [pet-ability=447]
• [pet-ability=369]
• Pass/[pet-ability=449] (you'll die)
• Bring in 3rd Ooze
• [pet-ability=447]
• [pet-ability=450] unless it will be dodged by [pet-ability=170]
• 
  
• [pet-ability=449] to fill

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Mechanical: Roboteer

• Team: [npc=77221] (1,1,1) | [npc=69778] (1,1,1) | [npc=73011] (1,1,1)
  Strategy: here | Credit: Haeven

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Undead: The Lil' Necromancer
- Team: [npc=61890] (1,2,1) | [npc=62854] (2,2,1) | [npc=90203] (1,1,1)
I tried P/B and P/S Squirrels and both breeds of Scourged Whelps. The other Fragments should also be effective - Suffering w/2,2,2 or Desire w/1,any,1.

Spoiler

vs. Lil' Spirit Guide

• [pet-ability=165]
• 
  
• [pet-ability=666]
• 
  
• [pet-ability=119] until Guide dies (usually 2)
• 
  
• Any during undead round.

vs. Quillino

• [pet-ability=119] until Squirrel dies (maybe 1)
• 
  
• Conditional: If you're [pet-ability=462], spam [pet-ability=122].
• 
  
• [pet-ability=657]
• 
  
• [pet-ability=214]
• 
  
• [pet-ability=122] until Quill dies (will vary with RNG from blinding and whatnot)
  - If you wind up needing to reapply [pet-ability=657], have at it.

vs. Fethyr

• [pet-ability=122] until your undead round, then reapply [pet-ability=657].
• 
  
• Bring in Fragment
• 
  
• [pet-ability=752] on CD (push back if [pet-ability=170] is imminent)
• 
  
• [pet-ability=1035] (or, if alternate Fragment: [pet-ability=1055] or [pet-ability=1105]/[pet-ability=751])
• 
  
• [pet-ability=1066] to fill

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