I have personal experience with this. I met this girl in middle school and we were simply friends. Nothing romantic, just friends.
I kind of neglected spending time with her out of school because I just didn't feel like it. It was nothing personal toward her. She would want to make plans for Saturday but I would just want to relax at home. She didn't simply make plans sometimes, she always wanted to make plans.
I followed through with a few of them due to how constant the nagging was. The last few times we've hung out she said "I love you" when I was about to leave. That's when I decided it was time to stop regularly hanging out with her because I'm 14 and don't want a relationship. I'm not dealing with someone that clingy, and her interests were completely different than mine.
Maybe that girl is reluctant to hang out with you but maybe that's a good thing. Sometimes the best relationships are ones where both people know how to distance themselves and give their partner a little space sometimes.
Hang in there. She'll say yes eventually and when she does, don't take it for granted but don't make it awkward like my friend did.