Hi bootiebear1, it sounds like you have given this therapist a long trial and her approach just isn't for you. I do think she should have revealed that prayer is a part of her therapy right from the start.
My own therapist is a family systems therapist with an eclectic approach, but is of the humanistic psychology tradition. He has a strong emphasis on healing and is quite spiritual, but is not dogmatic or favoring a particular religion.
For what its worth, my therapist has never offered me a "therapy diagnosis" either. He approaches his clients from a position of health rather than pathology, and helps them heal.
There are a number of articles on Psychcentral on the different types of psychotherapy, choosing a therapist, etc. Go here:
http://psychcentral.com/psychotherapy
Good luck!