On PC. First time I tried this, it bugged out before I could get the quest due to the conversation being interrupted by combat. Was never able to reinitiate. Second time I got the quest, killed the demon, had the return quest to return to Command. Started talking with her, she wandered off with the words "go then" which is probably what she's supposed to say when you end a conversation with her. Can't interact with her now and she's disappeared off the minimap with that quest listed as active. I chased her a little bit, had no option to talk to her, and now she's gone but the quest is still sitting there to turn in.
Edit: I just reloaded a save right before I talked to her and was able to complete it. But if she moves at all or you do (a deep stalker ran up just before I talked to her this time I imagine it would have kept me from turning it in), you can't complete it.