Acute facial fractures: funded, urgent, and not a travel decision
Facial fractures are treated as injuries rather than cosmetic problems in essentially every developed health system, managed through hospital trauma or maxillofacial services rather than private cosmetic clinics, and funded as emergency or urgent care.
There is no meaningful private, international market for this specific situation, and this page does not construct one. The window for fixing a displaced facial bone precisely is one to two weeks before it begins healing in its current position, the assessment needs imaging, often a CT scan, and sometimes a dental opinion, and some injuries, such as an eye socket fracture trapping a muscle or one obstructing the airway, are treated within hours. None of this fits around arranging travel, and the honest guidance for anyone with a fresh facial injury is to be assessed promptly at a hospital near where the injury happened, not to research international options.