I'm glad you asked this question, and I'm glad you've gotten the responses you have, but I'm surprised there aren't more EMDRers here. I'm not one, myself, but I came to look at this thread because I've been thinking about the possibility of EMDR, too. I'm both curious and frightened.

What are the memories like that come out? Does it even bring out memories, exactly? Are they flashbacks? Will we re-experience the the trauma? Can it happen on a sensory level, too?

I've had a flashback before. It was definitely one of the most horrifying experiences of my life, but afterwards I felt... so free. So whole. So released and complete, I would do it again if I could. Walls of numbness rose again in a matter of time, and that feeling of wholeness melted away.
Preceding the flashback, I had no idea what was coming, but the whole day I felt odd; sick, loopy, frightened for no apparent reason. It was a unique, unpleasant cocktail of emotional and and physical sensation, like a prodrome. And now that I've felt it, it's unmistakable for anything else.

And now, years later, I'm feeling it again, the "prodrome." There's something in there that wants to come out. But it just won't. It's stuck or something. It's hovering behind my head, just out of sight. I've felt so numb and dead inside for so long, and I really believe that once the memories come out I can start to be whole again.

I wonder if EMDR could help that process along? I don't know what the memory is going to be (though I might know what "category" it falls under), so I wouldn't know what to focus on while the session is going. But you said your T wants you to use EMDR for more of a generalized recovery? I wonder how that will work if you don't have a specific trauma-related image to focus on? Would you mind sharing how exactly your T says the process will go in a case in which there isn't something particular on which to be focused?