It doesn't sound like she is a good fit for you nor are you a good fit for her. If you reluctantly stay in the friendship, she will be able to sense that reluctance, as it will come through in your words, actions, and facial expressions.

For example, if a sigh or the rolling of the eyes slips out when she starts talking, she will see that and feel rejected.

I think you will save both you and her the trouble for the years to come if you let go of that which cannot be fixed. But if you feel this friendship can be fixed, trying doesn't hurt.