i have not had sex with a woman (or at least i don't remember it...) in well over ten years, and it's not been due to lack of opportunity.
as mentioned: i would prefer my own space. but, i don't think there's anything subversive in applying and seeing what they say.
the place could very well be run by third-wave feminist post-grads that think the idea of a transwoman in the basement gives them street cred.
you just don't know until you ask.