Every physician has a different policy. However, the bottom line is that most surgeons will try to achieve and optimal outcome. It is in everyones best interest. There are several different reasons why the nasal bone could have collapsed and noone can tell you for sure.
Discuss your financial concerns with your surgeon and I am sure they will try to work with you. Oftentimes they desire that you cover the costs of the operating room and anesthesia. However, policies do differ
