Until you can see the vet, if you can't take her to an emergency clinic, because I do know how expensive and especially how hard it is to find one that does exotics, put ky jelly on the area until then to keep it moist. The prolapse MUST NOT dry out or else it will become necrotic and she will most likely need to be put to sleep. She probably isn't feeling well at all. Keep her calm as possible, and the less movement she does the better, tearing the flesh on a rough surface is very possible and can cause some severe bleeding depending on the placement of the blood vessels.
Just keep her safe and relaxed, I don't think you want to change her cage at all, it would add too much stress, unless you can't get an appointment for a long long time. Let us know when you can make the appointment for. Then we can advise from there. If it's too long of a wait you may want to try the sugar water thing, but it's usually best for a vet to be able to stitch her in place if she is doing it often.