you can rub some honey on the bloody swollen part, it sooths it and could help it get unswollen. also you can mix some parsley and oregano in with her food (if she'll eat) and to prevent any other chickens from getting prolapses you can add some apple cider vinegar in their water
I put all the extra eggs in a 9 by 13-inch pan and tap them with a hammer until there all broken up and then cook them in the oven and then feed them to the chickens in the morning instead of feed
I have a chicken with a wound like that but half the size. I cleaned the wound with homemade saline solution and then put a mixture of antibiotic cream and hen healer and she is fine now, and the skin started growing back. you can get an antibiotic cream that has pain reliever in it.
you could try giving her olive oil in a syringe that's what you do for impacted crop so it might help with that. or you can see if she'll drink it from a bowl