Huh, after your other hateful comments, I'm surprised that it's almost like you get it, here.
If you differentiate between biological sex and gender as social construct (what you call "made-up"), what is your objection to someone having a "made-up" gender identity that is different from the more common gender identity of others born with their same sex?
If you differentiate between biological sex and gender as social construct (what you call "made-up"), what is your objection to someone having a "made-up" gender identity that is different from the more common gender identity of others born with their same sex?