Your doctor definitely wants your insurance to take the case, so they will do everything in their power to guide your successfully through the process. High blood pressure is definitely one of the things they look for. Your sleep study will also tell a lot about your actual health. I didn't think that I had sleep apnea, but surprise! I do. So that, coupled with my high blood pressure (which isn't high at all when I use my medication) got my surgery approved. I go in on 10/18/17.