Insurance coverage for DJS

I did a sleep Study test at home. I am waiting to get results. If the doctor determines that I do not have sleep apnea, would I still be able to get insurance to cover the surgery due to a narrow airway? I've already had premolars removed and I'm getting braces next week. I don't want to get too far down this path if I'm going to have issues with insurance. I can't afford to pay for the surgery out of pocket. Thanks.