I think asking her is a good thing. Remember that girls like guys who are confident, so be confident in yourself. Realize that if she says no, it isn't the end of the world. There could be a million reasons why she would say no. She will be flattered you even thought to ask her though. And if she says yes, that is great.
Don't overthink it, don't worry about the pressure of silence between you, just ask her and be cool about whatever she answers. It will work out to be the best.
Good luck.
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