First off, this is not a question about the movie First Contact. It is a question about the eponymous episode from Season 4 of TNG.
In that episode, Riker is wounded on Malcor III, where he is posing as a Malcorian. Malcor III was on the verge of warp capability and Riker was collecting data in order to help assess the impact that first contact might have. Riker's injury and capture forces Picard to reveal himself to the Malcorians slightly ahead of schedule.
Picard's main contact on Malcor III is Space Administrator Mirasta Yale. She advocates for Picard and Riker's good intentions, and convinces the Malcorian Chancellor to give Picard Riker's whereabouts.
Eventually, the Chancellor decides to postpone relations indefinitely with the Federation. Having seen all that she has seen, Mirasta is unwilling to return to Malcor III and the Chancellor gives her permission to stay off-world. Picard orders Worf to assign her quarters. That is the last we see of her, to my knowledge.
Do we hear of Mirasta again? If not in the official universe, then how about in the extended universe? In particular, does she remain on the Enterprise?