I would rinse and wash the wound, and use antiseptic rinse.(I use peroxide or alcohol pads) If you use neosporin, I strongly recomend cream, becasue ointment can hold in germs, but not kill them all. If she doesn't not get a bad infectioin (watch for yellow/green oozing, and pus) she will very likely recover, but her feathers may not grow back there. Bandaging may be problematic, but it is in order the first 24-48 hours. You might have to put on clean gause or clean cotten t-shirt, and duck tape it closed. You really need to avoid intorducing additional germs, thats the reason to cover wounds.
Good luck.