Yes, I'd recommend telling her your anxiety about her wanted to refer you. I understand how you are feeling. My T merely mentions the phrase "new therapist" I get super anxious.

As much as it hurts, she may be doing the right thing by referring you to another. If she is not good in this area, it could really mess you up. My T is very good with these kind of feelings, but he has decades of experience and years of training with transference. The same with my last therapist. I know you said you didn't feel this was an issue in your case. It often is with inexperienced therapists or therapists who don't have the skills to work with transference--there are many people here who have been harmed by such therapists.

On the other hand, if she stuck by you, this could be an area of growth for her too. She has to start somewhere. Perhaps she can get supervision?

It was brave of you to tell her about your feelings. Sorry this is so painful.