Hens egg was stuck,bathed and removed it but looks like insides on her bum

[Rmcc]

My hens first egg was stuck,I bathed her and it came out but there is goo and what looks like part of her that should be inside is outside her bum. She was fine all day and still seemed fine after the ordeal but I am very worried

 

[Eggcessive]

Could she have a prolapsed vent? Does it look like the picture below? Here is some info to read on how to deal with a prolapse:
http://www.the-chicken-chick.com/2012/04/prolapse-vent-causes-treatment-graphic.html