Hi Esther,
I sometimes wonder if there is truly such a thing as "regular" psychotherapy. I am just beginning to realize this myself after reading many posts at PC. It seems that each therapist brings his/her own personal toolbox to the table and uses those tools to benefit the client.
It appears that in your T's case, EMDR is one of her tools. It has been effective for many people. My experience with it is limited as I wasn't really ready for it yet, so T tabled it for the time being.
I'm a little confused about your statement regarding going elsewhere. Is she suggesting someone else do the EMDR? Or do you mean outside the usual "talk therapy" you and T usually engage in?
I hope I haven't confused you more!