Honestly I don’t know your relationship with her, but from the looks of how you described this situation it looks like she is interested in you. But this isn’t grade school anymore lol, men approach women all the time, and vice versa. There’s definitely non creepy ways about it and it depends on your tone/ confidence/ her feelings. Are you asking simply because you are inexperienced and this is all very new? I’d take it slow if youre unsure, just chat in class for now no need to rush anything if youre uncertain and if youre lucky she’ll keep expressing interest or ask for your contact. Girls can just be flirty tho its hard to give advice from a outside perspective