I think Leah123's suggestions are good. My therapist is not a PTSD specialist, and we opted to continue working together at my request (my reasoning being that he was the first person I had ever begun to trust and I had a positive working relationship with him). He's doesn't have training in things like EMDR, but he's familiar with lots of other approaches that have been helpful to me.

I think it's a good conversation to have with your therapist so that you could evaluate your options. The other thing to remember is, you could try seeing someone else and do not feel it's a better fit for your needs, you can always return to your current therapist.