Interesting thing about that deuteronomy quote - It's all about interpretation.
If a trans woman is a woman, then wearing mens clothing is "cross dressing", and vice versa for trans men. you can read that as saying that trans men and women should be allowed to wear the clothing of their assigned gender.
btw, lil, I appreciated the note you sent about your trans relative. It was heartening to hear. I don't have a significant other of my own, but in many ways I don't know if I love myself enough yet to intimately love another.