She is pushing me away. Do I leave or keep trying? Help please?

I am a biual female. I had been talking to this girl for 4 weeks until today. We have so much in common and a lot of chemistry. When we're together, I feel so happy and I miss her when shes away. I've told her how I feel about her on several occions. She told me she feels the same way and she one day hopes to be with me. She has told me she loves me on a few occasions. I didn't say it back because I felt like it isn't possible to love someone that early. We haven't really been through anything to determine that, you know? Yesterday I brought up that fact that we always make plans to see eachother but it seems like something always comes up at the last minute on her end. She said she was upset by this because they were always family emergencies, but I'm thinking "No, 3 times, it was just you 'forgetting' you had to do something. So basically, I felt like she was playing games or she was just very forgetful. I like her so much that I act naive at times. So yesterday later on in the day, she started to act distant towards me when I texted her. One word answers. Not like her at all. I saw on facebook that she was talking about how someone hurt her and her friends were telling her that it would be okay."Youll find someone one day who is worth your time and who will love you how you deserve to be loved." So at this point Im baffled... I text her and ask her "Who hurt you?" She says "my dad and your words" She told me she feels like she is being penalized for my past. And Im thinking "Thats total bs because I dont even bring up my past." But she leaves it at that and tells me she doesn't wanna talk to me anymore and that we can just be friends. At this point, Im a little hurt because I really care about her and I life her so much. She just pushed me away though. And she wont talk to me now. I tried to act on the phrase "When people push you away, thats when they really need you the most, but now shes just not responding to me at all. Should I just let it go?