What does she want with me?

ok so I went out with this girl 3 times, I really like her. I called her and asked her out a 4th time and she was like well I am busy Fri. Sat. Sun, Mon. So I was like ok I see. I took it personally and texted her telling her I can take a hint you are not feeling it, no worries have a good life basically. She then told me I was too sensitive and she would make it up to me. She then made time to go out with me Saturday night, this came as a total shock to me at this point. She was semi normal acting and really affectionate towards me but then the next day goes right back to acting distant. I am really open and honest with people and never play games, so I don't understand girls that do. I can't stand the ups and down with her and feel like just writing her off again but before I do that can anyone explain to me what is going on here?