Wow, I had forgotten I had ever posted this thread.
I still haven't gotten surgery for my condition: I have a recto-rectal intussusception. I do not have any symptoms of constipation or pain. What I do have is the fact that my anus gapes open. The intussusception has "intussuscepted" to the level of the opening of my anus. What this has done is that it has stretched the opening of my anus to the point that I release odors from there without knowing; however, I do not have fecal incontinence.
I can't sit (especially on soft surfaces like sofas/couches) for any significant amount of time before my anus starts to feel loose.
I have found a (very) temporary fix to this problem. If I take a gloved finger and thrust it into the edge of the opening of my anus, the intussusception recedes back and my anal sphincter muscles contract, closing the anus. This gives me relief for a few minutes to an hour, and then as the intussuception "intussuscepts" back into the level of the opening of my anus, the symptoms return.
All I really need from a surgery is to have the intussusception not "intussuscept" into the opening of my anus. Is this really too hard?