Georgie: You need to relax and you need to quit putting this girl on a pedestal as if she was the only woman left in the world for you. You barely know her and you're putting far too much thought and concern and angst into your brain about her and I fear you're going to drive yourself nuts.
If you ask her to something first say: "Are you busy on Friday (or the day you want to see her)" If she says why, say you didn't answer the question. If shes busy then ask her when she's free to get together. If after that she makes an exuse then she may be stalling.
I will say by her asking if there is another time to do it she's letting you know that she'd be interested if she were free so just reschedule something with her if she tells you she's busy and let the chips fall where they may. But do calm down and don't put all your emotions into her just yet. It's quite early so pace yourself. This is suppose to be fun .
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion