It is certainly acceptable to undergo repair of a broken nose 3 years after the injury. Medial and lateral osteotomies of the nasal bones will need to be performed along with a spreader graft to the concave side. The spreader graft is composed patient's own cartilage. A fracture of the septum can cause a deviated nasal septum which can be repaired at the same time if necessary. Insurance coverage varies depending upon insurance plan so it's best see an ENT/ facial plastic surgeon for an examination and consultation
It is possible that insurance would cover your rhinoplasty. There are so many different carriers and different policies that it is impossible to say whether the procedure would be covered or what your portion (co-pay/ co-insurance) would cost. Seek a consultation with an experienced rhinoplasty surgeon to learn what your options are. If insurance will not cover your procedure, there are charities that will pay all or part of procedures to repair the physical damage of domestic violence. I wish you the best.
Stephen Weber MD, FACS
Denver Facial Plastic Surgeon