Birds are fragile animals. They weigh very little and have delicate bones. They have a minimal blood supply, and even a small injury resulting in significant blood loss can cause death if the blood flow is not stopped immediately. Unclipped birds can become airborne at any given time, once outside the cage. Fully flighted birds are more likely to have accidents (or fly away, never to be seen again) than birds with clipped primary wing feathers. However, even clipped birds can, occasionally, pick up enough of an updraft to glide into a window, mirror or ceiling fan.
The best way to deal with accidents in the home is to prevent them from happening in the first place. If you allow your bird playtime outside its cage, turn off the ceiling fan, draw the curtains on your windows, and cover your mirrors with blankets/sheets/towels. Do not allow your birds free range of your house. Birds are excellent at finding trouble, and hazards exist at every turn. Not only could you possibly step or sit on your feathered friend, easily crushing it to death, but your bird could ingest a toxic substance or item, be injured by another family pet, drown in an open toilet, receive burns by landing on a lit stovetop or boiling pot of water, or succumb to any of a number of other dangers.
Do not wait until you need the immediate help of an avian vet before you locate one in your area. If you haven't already, go out today and find a veterinarian with experience treating exotic birds.