Being trans at an onsen

Hey yall! I am a trans man, and I look like a man everywhere (hairy body, got my boobs removed) except my lack of penis lol. I was planning on just covering my part with my hand until I get into the bath, like how I imagine most shy foreigners do. I know there’s private baths as well, but I booked a hotel with an onsen that is male/female segregated (on accident) and I’d like to use it.
Should I risk it or bite the bullet n not use the onsen? Thanks!
Edit: I received great advice from yall, thank you!! I think I’ll contact my hotel and see what I can do, and if it doesn’t work out, I can just book a new one! I appreciate all the comments 🙂

by cedarsghost