I used to do EMDR with my T but I don't think it worked so well for me. It did help with my fear of fire and lighting matches. I used buzzers that I held in my hand so T encouraged me to keep my eyes closed while we did it. I always thought I was doing EMDR wrong but my T told me there is no right or wrong about the process. I was also very tired after an EMDR session and usually slept better that night. It was a weird experience but was not traumatic for me.

Good luck. If you trust your T, it will be fine.