Your breathing was worsened by an attempt to repair a functional issue. Your insurance should have assisted with that and should assist with any functional nasal surgery. Your doctors office will be able to determine if you will be covered for the procedure.
Rearranging the tissues within the nose to close a septal perforation can sometimes change the appearance of the nose and cause intranasal webbing or scarring the impairs breathing. Repairing this to improve breathing is often covered by insurance.
If your nasal issues are functional, like deviated septum, nasal valve collapse, septal perforation or other.. insurance may cover some of the cost. Every plan is different and would have to be checked prior to the procedure.
Most insurance companies will contribute to the cost of surgery to improve nasal breathing. My staff will help my patients determine if they are eligible for insurance benefits. I must say that it is possible that your surgery was not botched - closure of a septal perforation is a difficult procedure.
To fix a hole in your septum is not rhinoplasty. You may have had rhinoplasty including an attempt to close a hole in your septum, which is not all that easy to do. A lot will depend on your anatomy. Therefore, a thorough exam by an experienced rhinoplasty surgeon, like myself, is needed to determine exactly what the problems are. If you have septal deviation or nasal valve collapse, this may be covered by insurance, depending on the insurance coverage you have. The revision rhinoplasty will not be covered and a good rhinoplasty surgeon will not try to sneak it in with the operation to improve your breathing. Good luck!