From the text of Deuteronomy 22:5 the nation of Israel is given command not to cross dress but to make clear distinction of their gender by what they put on.
This literal manifestation of staying put, so to speak, in one's life role becomes a picture of what is expected from us in a spiritual way today. Churches today are confused as to how women dress for and implement their gender-specific role in worship, but we are expected by our gender to put on Christ so as to manifest a very specific placement in worship.
When we blur the lines of gender specific roles in our homes, in our behavior, or in our worship assembly, we portray the same queer image of the church as transvestites might manifest by their dress: things which are against nature. While transgender dressing is abhorrent, cross-dressing is desirable, if you get my drift.