Your Doman contact tells you to join her compatriot in Eastern Thanalan to observe the movements of the Crystal Braves.
This quest is available if you have completed the quest Flame General Affairs.
Starting the Quest
Talk to Higiri in Revenant's Toll in Mor Dhona to begin the quest.
Speak with Doware
Go to Eastern Thanalan and go to the quest icon on the map. Talk to Doware to proceed.
Speak with Hozan
Go southwest to where the orange arrow is pointing in the minimap. Talk to Hozan to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Hozan to accept the next quest: Keeping the Flame Alive.