Indeed, the music doesn't loop, and I will fix that in the next version. The fact that you liked the music enough to loop it yourself... I take that as a positive comment!
Transgender people don't play a big role in the quiz mode, but they play a bigger role in the multiplayer game. I spend a lot of time making all 12 characters looking different between before and after, so it's unfortunate that this felt a bit problematic. On the bright side, like you said it is not a big deal (or wrong for that matter) and I'm relieved that this is the worse thing you found in the game. Actually I'm glad that you could tell who is transgender because of their earlier appearance, because that answer requires memory and attention.
Creating this game while trying to avoid any misrepresentation, it was like walking on eggshells. But I did my research and so far it seems like it paid off. Thank you for your feedback!