BMarie, can you ask your doctor to give you names of three surgeons she knows have experience in this surgery? She must know who among her peers has an excellent reputation. Tell her you are relying on her professional knowledge of her colleagues, which you do not have. Call your insurance company and ask if they cover any of those doctors and the affiliated hospital where they perform the surgery. Ask your doctor to set an appointment with that surgeon, hopefully very soon, so you can have your first meeting, then work with that surgeon to have your surgery.
Try not to stress too much; stress and anxiety will make your health worse. I know you feel like you are doing all the legwork, and you probably are. Ask your doctor to help you deal with your prolapse pain while you work together to find a surgeon fast. Do what you can to move this along but try not to use up your energy on stress. Save your energy. You can do this.