Is it creepy for me to ask out a girl in my class who I think

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Is it creepy for me to ask out a girl in my class who I think is 21.

Long story short I have been out of "the game" as kids call it these days for about over a year. Mostly due to getting tired that every relationship I have been in always feels fulfilling and like a chore. On the other end of things I fucked up my life almost past the point of an easy fix. Luckily at the ripe old age of 24 I was able to get back into school to finish up my degree. All this leads up to my current situation.

For the first time in my life I feel I have a chance to not only date a girl in STEM but also in my chosen field. I am not saying I don't think the chance will come again but everything seems right except for two things. Due to some quick google-fu (I'm not trying to be a creep I just don't want to ask out an 18 year old) I found out she is either 20 or 21. So my first concern is this just way past the reasonable age for me to be asking out?

The other thing I am concerned about is that me, her, and one other guy are the three people who participate in class and I sit behind her. I would hate to make things really awkward for her in class as it's clear she is there to learn first. Which isn't too say I don't think there is some strong chemistry here but I try to be aware that it's possible for me to misread things.

tldr: I'm 24 and shes 20/21 and I sit behind her in class. I want to know if it's inappropriate to ask her out given these factors.

Thanks in advance.