I mean the woman being trans makes no real difference, and non-binary people tend to be included in all sexualities (we're clearly so stunning that no-one can resist us 😜), so honestly I think you could count yourself as either, or even choose not to go with either lable. It just depends what you're comfy with.
With hormones, it really depends on if you think those changes to your body would make you more comfortable. Having a quick look, it seems like the main changes will be to hair growth and fat distribution (you also might develop breasts). I'd suggest talking to a doctor about what hormones do, what the risks and benifits are, and decide if that's something you want to do.
And yes, you can still use the mens restroom.
