they took nearly two months to charge me

That is really dumb and frustrating

It may not charge you until the no full refunds date (not sure when that is).

Also, your age could be a problem. Most hotels do not let people under 21 get rooms. We've had that issue in the past - we reserved a room for a con but they wouldn't let us check in and pay because we weren't 21 yet. Perhaps that's the problem?

Could another guest in the room I reserved possibly sign in? Hya is 22, I listed her as one of our guests in the room.
Idk

If the age thing is the case could Hya possibly charge it to her card instead??

I'm not sure since I already reserved it and it's not refundable.

Could you try calling them and asking if you could just change the account its being charged to? If they didnt tell you something about age being a problem to begin with then, its probably not. But im just thinking to be on the safe side

Yeah I'm going to check out their policies. Not all hotels are like that about age, so I'll just have to see.