Are you having an open procedure or is it being done laparoscopically? I had an open procedure to do the same thing and I was in the hospital 3 + 1/2 days. I would not have wanted to go home any sooner than that because I had an open procedure with a 7-inch incision. That makes a big difference because they have to monitor the incision and later later remove staples. People who have laparoscopic procedures often go home the same day. But this is major surgery and you are going to want to be in the hospital, being taken care of, with that pain meds button stuffed in your fist all day!
Even if the insurance company only approved one day, your hospital stay will be determined by the medical team who observes you. You may stay longer. I think you probably should ask your surgeon in advance if one day of hospitalization will be enough. And again, it has a lot to do with the incision, or the lack of one.
But again, if it's open, this is a an incision right in the middle of your body, where you bend over, where you unfold and fold when you sit up, and you don't want to have to do a lot of moving when you're home on your own, even if you have someone to help you.
I think the longer you have help and attention in the hospital, the less you will hurt when you get home. But again and again, I really don't have any idea how this works if you have laparoscopic surgery. it might be a lot easier. it's very hard to compare.
What is your surgery date again?