I had EMDR about 9 or 10 years ago, and it helped me quite a bit. I'm not sure if the technique has changed any since then, but I can share with you what my treatment consisted of...

My therapist had a special lighted board, sort of like a child's Lite Brite toy. The lights would cross the board in different patterns, back and forth. At the same time, I wore a set of headphones and heard a low beep sound that alternated from side to side. While I was watching the lights and listening to the headphone tones, the therapist would walk me through visualizations of the difficult situations I was having anxiety about. The tones are soft enough to hear the therapist through.

I can't remember how many EMDR sessions I had with her, but I know it was at least three or four and they did help. She was trained in EMDR, and I was already established with her before we tried it. I can definitely understand not wanting to start with a new therapist for it, but if it could help, wouldn't it be worth a shot? Even just as a sort of short-term specialist referral situation? Then you could come back to your regular T and go from there....something to consider.