...that is one odd theatre teacher. She is aware that cross-dressing was the only way plays were done at one point, right? Jeez.

That is simply ridiculous. And if I were in that position (I am non-binary, too) I would be really uncomfortable. I don't think I'd even last the class because I'd probably snap at her and correct her, which, even if you're identity is being insulted again and again, is a "rude" thing to do.

I wish I could say I was surprised that a cis person is trying to keep the cis normative strong.