Perforate an intestine and you are in BAD shape. Perforate it many times--as a gunshot would likely do--and they probably can't save you.
A family member of mine just recently was found to have a perforated bowel after a surgery that didn't go exactly right. They had to go in a second time, remove a bit of her bowel to get rid of the infected area, put her on a cocktail of drugs, and eventually give her IV nourishment because she was getting weak from lack of food.
After that second surgery, they had her in hospital for (I think) about two weeks, mainly because they were concerned she still had bowel leakage and they might need to go in again. (She didn't, so they didn't.)
When she got home, she spent another week not moving much except to go to the bathroom, and she could only eat a few tablespoons of food at a time. After that, she began to perk up, but she's still not doing anything strenuous.
A gunshot wound to the stomach is very likely to kill your character, and if it doesn't, she's going to be in hospital for at least a month. It's a very messy wound. She would need to be on her way to the hospital almost immediately to survive it.
Maybe have your character shot through the lungs? I think that's a lot easier to fix, and I assume you'll need your character mobile and able to deal with plot-related things sooner than a gut wound is going to allow.