Is it normal that this happens in friendship?

Hey guys, i'm kinda puzzled out here. You see, I have being in a good friendship with this girl who I have known for about 2 years. She's awesome and a delightful girl. Ever since a problem that occurred which had been said to be a misunderstanding. I tried clearing things out with her. Telling her all the facts she needs to know that i'm not in a relationship with anyone. But seems like she has lost the trust in me. Afterwards, she started changing within a month. Jyeah, it's normal for people to change. But it's just too hurtful to see her being like in this way. I just couldn't take it. Is it possible for me to earn this trust and love back from her as a best friend?