Never seen the show, but isn't this an instance where cross-dressing is seen as a gag and not necessarily an acceptable and normal thing to do?

As a needlessly serious answer - conservatives don't mind exceptions. What scares the shit out of them is any systemic challenge to The Hieararchy.™ Guys in dresses as a punchline doesn't ask them to reconsider how men and women are treated differently. Like asking why there's a female-only residence in the first place.