I worked with a therapist who for the most part employed a psychodynamic model of treatment. However, she is 'eclectic' in her approach and therefore did not hesitate to offer other treatment modalities as well, as needed. So at one point she taught me how to relax doing visualization. To this day I still do it when I need to relax, it helps me fall asleep many times. She also taught me some self-talk to help me through some rough times, (yeah, that's a cbt thing).
The point I am trying to make is that my therapist was basically giving me the psychodynamic stuff but threw in the other stuff as needed. And that if your therapist employs cbt for the most part, and you want the psychoanalytical stuff, you've got a prob there. Have you considered asking your current T if she is trained in psychodynamic therapy?
Do keep in mind that although you want the psychoanalytic therapy, there needs to be a foundation of trust between you and your t. There needs to be a foundation of trust bet. therapist and client no matter what kind of therapy model they employ; this is a given. But I have this idea that you might meet with the new analytical therapist and expect fireworks at your first session. Bear in mind it will take a few sessions for you to start to trust her enough to be able to make use of the psychodynamic approach.
I know I have mentioned this before, but figured i'd throw it in again: When i met my new t (three weeks ago), at the end of the session she wanted to wrap things up and she stated that ''ok, so the way i work it is i do cognitive behavioral therapy.'' I was like, ohmygod, for this I just spent 45 minutes and $150 bucks?! I said to her, ''I wish I had asked you if you do psychodynamic therapy..." Then I asked her, ''would you be able to work with me doing psychodynamic work and not cbt?" She responded that she mostly works with cbt as that seems to be what most clients want. However, she is trained in psychodynamic therapy and she said she is willing to provide that for me.
So I think being that you are fortunate enough to know what kind of therapy you want, it sounds like a good idea to ask your new t if she could provide that for you.