In general, the risks of anesthetic complications from an elective plastic surgery procedure are rare at approximately 1 in 50,000. Life threatening complications are even rarer. In my opinion, it is safer to have surgery at an accredited surgery center since they have to meet national and state safety standards than a surgery center that is not accredited but located closer to a hospital.
Really, the surgery center needs to be fully equipped and ready for any emergency regardless of the proximity to a surgery center. If a life threatening complication occurs, it needs to be treated within the first few minutes and regardless of how close you are to a hospital, life saving measures need to be immediately instituted. In fact, the patient should be stablized before they are even sent to the hospital or the chances of success are slim.
While certain things like Malignant hyperthermia and a heart attack are best treated if you are closer to a hospital, those are rarer risks. I hope this information helps. By the way, I am a surveyor for a national accrediting agency. I would check to see who has certified your physician's surgery center. A good one is AAAHC.