I was really worried about getting orbital decompression done. Once my Graves had burned out I had the surgery done. It was completely a breeze. They went in through my nose/sinuses. Not even any bruising, black eyes. You could hardly tell anything had happened. After a week of nose bleeds, I was 100%. If I knew it was going to be that easy, I would not have wasted so much of my time worrying. Also, I am over 50, so to clear me for surgery, they did an EKG (and Cardiac Stress Test) which turned out just fine. So no problems with the anesthesiology and surgery. If your doctor has recommended it, and your Graves has done what it's going to do, go for it. You will be very happy that you did. And yes, make sure to go to a doc who is familiar with, proficient in this specific surgery.
Lettuce know how you're doing and how it turns out.