I think it's a great idea to use t2 in adjunct to t1 to start. Your current t should support this decision because both services will benefit YOU.

My t has recently recommended me to see another t complimentary to her for EFT. My t knows what skills she has to help me, and what skills she doesn't. I appreciate her having my best interests at heart because my therapy is all about me -- not her.

And so your therapy is all about you. I am glad you are doing what is best for you right now. Your t should be receptive and supportive of you seeing a CBT therapist. I do hope she is. Let us know how things unfold!