I am unconvinced of the efficacy of EMDR beyond the effects of exposure of thinking about your trauma. However, if it's freaking you out it isn't working as desired. I don't think I'd seek it out. I also hate meditation with a passion. It makes me anxious or angry, the exact opposite effect that it is supposed to have. I googled it. I'm not the only one. The first time a therapist suggested it, I was adamantly opposed, along with mindfulness, which I thought was the same thing (it isn't). But I can't deny that some of my problems have to do with disconnecting from myself (such as mindless eating, hating myself, etc.) so I'm sort of giving it a second thought.

You don't have to do it if you don't want to, but there could be a middle ground. I'd talk to your therapist and tell her exactly the issues you have with it, and maybe say "not now," rather than "never."