MICHEL [on phone]: No cherie. I can’t wait either. Very soon. You are? Ohhh. Don’t tease me. I promise all this waiting will be worthwhile. I’ll see you then. Goodbye darling.
Michel seems to use the French feminine form of “darling”, cherie, so his date is with a woman. If it was a man it would have been cheri. However, they sound similar enough to leave some gender ambiguity. I think Michel says cherie, but can’t be 100% sure.
The Annotated Gilmore Girls 