Too intelligent for CBT? Well, now I know why CBT didn't work for me too...

Seriously though, I think she truly cares for you and is trying to do what's best for you (and you only)- otherwise, she could just keep taking 200 bucks per session till the rest of your/her life. Furthermore, she offered, it's up to you to decide whether that's what you want.
I don't like CBT (as already said it's not working for me) and am in psychodynamic therapy- I'd take her up on her offer. You've got nothing to lose. You still can go back to her if you didn't like the other T. I'd use the next session discussing why you're feeling the way you're feeling, though. Just to clear the air.