Yours is one of the typical frustrating situations people experience in therapy in cases when therapists don't explain how they work before the work starts. While your therapist has the right to use her own approach, she was supposed to inform you about the approach/philosophy she follows at the onset of therapy to make sure that you and she are on the same page. She didn't do it, and, as a result, you were under the impression that she does the work the way you thought therapy was supposed to be done when she was following a different idea. You didn't realize that you and she were not on the same page until you've had a certain number of sessions and have spent a certain amount of $$ I presume. Your frustration is completely valid and, in case you are angry about this, the anger is also valid. This was an ethical failure on your therapist's part. I realize that for many people on this board, this misunderstanding is not a big deal, but, in fact, therapists are ethically obligated to inform prospective clients about their methods of practice before the work starts so people could make informed choices of whether they want to go ahead with those methods or not. Informed consent is not in the area of professional law but it is in the area of professional ethics. That is to say that it is not legally but ethically required to be obtained from a client before the commencement of treatment.

So, briefly, the response of your therapist is "normal" in a sense that she has the right to use the methods and the approaches she believes in. What is not normal is that she didn't take time in the beginning to explain how she works so you'd be able to decide if that's what you need.