I think that the only way to know the answer to that question is to raise the issues you have with her reaction with her. Since she didn't say she wanted to quit, at least she is not "afraid" enough of you to refer you to someone else. So by this, I take it that she is communicating "I am willing to work through this" to you.

I would go back for one more session to discuss this with her. Based on what you will learn from this, then you'll be able to make a more informed decision.

Anne