I hope that everything is ok and this response/opinion isn't too late. That is not a bad prolapse, but I certainly would NOT leave that tissue exposed for weeks until eggs are laid. If she hasn't pulled it in after a day, I doubt she'll do it on her own.
I've kept Green Tree Pythons for about 6 years, prolapse is a common issue with GTP. I made it until the last 6 months without one, and have had to deal with 2 since then.
The sugar solution is the first step for sure. But only for a day or so, after that, you either have to put it back yourself or get to a vet. I have no vet near me that deals with snakes, so I've done it myself.
I tried the Qtip and didn't like it, the fuzz on the tip sticks to the tissue, and Qtips are surprisingly bigger than you would think. I had much better success with ball tipped probes. And given the size of your snake, I think a ball tipped probe would be the only choice.
Think of the prolapse as an inside out sock, you have to push it back in and let the sock turn right again. Lubricate the tissue and the probe, place the probe in the center of the bottom end of the exposed tissue, and slowly work it back in. Leave the snake on damp paper towel substrate for several days after, don't put it back on any substrate that can stick to it.
Both of my snakes prolapsed again the next day, I did the same thing all over again, and the second time they healed up just fine. And they both looked worse than your girl. I do worry about her laying eggs though, I think she'll more than likely prolapse again when she lays them, but I still would NOT leave that tissue out until then. Just deal with it again when that time comes.