Your welcome. I called the parenting class instructor to find out what the word was for what she does. she said its called "mirroring". the client says something and then the therapist reflects or mirros it back to the client. She also does it the other way around where she has the client reflect or mirror what she says and does.
Glad you were honest with her.
By the way I have come right out and asked many of my therapists what their therapy approach and role models come from and not one of them were offended. in fact they were rarely surprised when I asked them. So if you want to ask your therapist what type of therapy she specializes in she probably wont think nothing of it, and will most likely answer you.