I'm turning her upside down to put her to sleep. Chickens, when turned upside down, go into a hypnotic trance. It's cool. Hannibal thought so, too. Luckily our dogs are not in the least interested in hurting our feathered friends.
The prolapse had apparently already corrected itself. I had a happy chicken, and I was a happy momma.
In case your wondering, I had called my friend, Frances, who is a vet, and asked her what to do. I had read that you wash the area, and with Vaseline, gently put the bulge back in. I was prepared to do this, and not grossed out in the least. Frances said that sounded right, but her specialty is more of the 4-legged kind. That's ok. I got on the Backyard Chicken forum, and sure enough, I was right. I was a bit disappointed it had corrected itself because I felt as though it would have been good practice. I've been going out and keeping an eye on Gloria. She's so sweet. I did feel for the presence of a trapped egg, and felt none. I think she'll be ok. I've read though that once they prolapse, they will likely do it again though. We'll see.