No broken shell inside of her is GREAT news! Is she still bleeding? If so, you'll want to attempt to locate the source so you can determine how bad it is... Just like with humans that have hemorrhoids (as a fitting example), sometimes the staining will cause bleeding and normally that would be considered "normal" and "acceptable", providing of course that the bleeding doesn't persist. Other chickens can (and will) peck at a prolapsed vent, so you'll need to separate her from the flock to avoid additional injury. FLIES will lay eggs there too, (fly strike) (maggots, that if left untreated will eat her from the inside out) so she'll need to be in a location where that's not going to be easy for them to get at her. You can expect the prolapse to continue to pop out regularly until her bum starts to heal. IF she's no longer bleeding, you can offer her 1 baby aspirin (81mg) for every 3.25 pounds that she weighs for pain and it does double duty as an anti-inflammatory. If you do not have baby aspirin, you can use adult aspirin broken into appropriate dose... adult aspirin typically comes in 325mg & 500mg doses. Dosing is 25mg of aspirin per pound of chicken. This can be 'hidden' in egg yolk or other tasty tidbit. Aspirin tastes awful, so don't try to dose her water with it. Do a search on the forums here for previous posts regarding prolapsed vent for instructions and ideas that would work for you and her.