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What do you think would happen if I just tell her straight up "come over and lets watch a movie" right after she messages me??
Well the only way to find out is to actually do it. However, I see it going a few ways. Since she doesn't seem to know you very well she may just brush it off and tell you she is busy or whatever. She won't go because she doesn't feel comfortable doing that private 1-on-1 time yet so maybe a public date would be more suitable. I could also see her agreeing to the movie, but then last minute backing out because someone else she knows (maybe a close girl friend) gave her another option for that night.
Maybe that's all entirely wrong. There is a chance she will be all down for it. Like Tim Pierce said, it's dynamic. You just have to go for it and see what she says. I'm just throwing around different scenarios that came to mind so you have an idea of what could happen and you can think about how you will respond if they do happen.