Thank you for sharing your excellent question. Although there are risks with any procedure it is important to remember that in an otherwise healthy individual the mortality risk is extremely low, on the range of 1:1-2MM. Hope this helps.
Your chances are extremely low bychoosing a ABPS board-certified surgeon operating out of a certified surgery center. The risks of anesthesia are minimal and surgically related deaths are extremely rare. The biggest surgical risk would be neck hematoma compromising your airway. I recommend discussing your concerns with your surgeon so that they may understand and educate you to the risks.