YOu most certainly need one who will fully describe Graves, how it manifests itself, its symptoms, lab indicies involved, Rx and the way they work (including side effects) and what the course of treatment will be.
And you most certainly need an endo who will take time to answer all of your questions.
Try an endo who is affiliated with a local teaching hospital and, if possible, one who is an instructor/professor of endocrinology at a med school. (make an appointment with a couple; this way, if you don’t like the first one, you can see the second one and yr wait time won’t be that long at that point)