Ok, for everyone who is wondering why they can't do this quest and they are exalted - you need to have completed all of the quests and unlocked all of the Paragons.
That means you need to have completed Amber is the Color of My Energy - that means more quests after you get Dread Haste Makes Dread Waste.
If you don't know where you are and what you have left, check which of the Paragons for Amber is the Color of My Energy and then check the page to see where the quest chains are.
The usual ones missed are the reputation dependant quests:
Skeer the Bloodseeker requires honored reputation
Dropping Our Signal requires revered reputation
Beneath the Heart of Fear requires revered reputationNOTE
If you are reading ahead on this questline, make sure you do all of the branches for the Paragons - you'll get more dailies which means more reputation per day (and it's slow). Make sure when you hit revered you pick up your [item=92522] - use it as soon as you hit revered then turn in any remaining quests since you'll get double experience straight off!
Hope I helped.
Quest
The Empress' Gambit
A World of Warcraft quest in Dread Wastes. Facts and objectives from the current retail game data.
The highest voted Wowhead comments for this page. They are community notes, not TheWoWDB comments.
It's confirmed, this starts the finale quest chain for [faction=1337], given upon reaching exalted.
For anyone wondering where you turn this quest in after watching the dialogue.
You can click the quest in the tracking drop down on the right of the screen, if you can't see this, then relog to get this option to show up.
Hope this helps someone.
Quest facts
The client quest POI data records no map location for this quest, so no map is shown.
Check whether you have already completed this quest
in-game: /run print(C_QuestLog.IsQuestFlaggedCompleted(31959))
Description
Grand Empress Shek'zeer has finally lost her patience with us. We have learned of an enormous army, massing in the shadows of the Heart of Fear, with orders to crush Klaxxi'vess. We have been fortunate to hold out this long, but we cannot survive a siege of this scale. Wakener, you have been invaluable to our efforts. Come, take your place on the field among we paragons. I will see you on the battlefield!
Community notes from Wowhead · 40 comments
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Reward details
Reputation: The Klaxxi +250
These Mantid Elders are untouched by the corruption and insanity that has overtaken the remainder of the Mantid Swarm. They seek to work with the races of Pandaria to restore their Queen to glory.
Reputation group: Mists of Pandaria.
Other quests in Dread Wastes that reward The Klaxxi reputation: Psycho Mantid (+250), Preserved in Amber (+500), Wakening Sickness (+250), The Klaxxi Council (+250), Kunchong Treats (+130), Fires and Fears of Old (+500).
Item facts are the current retail client’s (ItemSparse); the specialisations for a pick-one item are the ones the Blizzard quest API lists; faction and currency text is the client’s own. Lowest listed price = the US commodity auction house now.