Yes, I think too picky depending on your location. I don't know how populated your area is and how far you are willing to travel on that one day off a week to get this therapy. I think the one way to determine if they are actually too picky is to do the meta search... you have some requirements that are pretty clear... must do EMDR, must be of a certain age or higher, must be female. Try to get a list of those candidates right there and see how many you have to choose from in your area. You might find you only have 1, which means yep, way too picky. You might find that you have 100, which means maybe you could have some of the other things you want too.