The chances of success depend heavily on the broody herself, and on the rest of the flock. Best case scenario - the broody does a great job and you leave her in a nest in the coop, where she sits the whole time, hatches the chicks herself, integrates and raises them herself and you basically have to do nothing other than provide food and water close to the nest (for her and then for the chicks to reach). This is possible, it's easy, it's great, it has happened to me and I have loved it. However, any other number of scenarios are also possible, from the hen not doing a good job sitting (returns to the wrong nest; fails to keep the eggs under herself; fails to protect the nest and allows others to sit with her and potentially break her eggs; or quits partway through), to her not doing a good job with the chicks after they hatch (doesn't protect them well enough from the flock, doesn't stay with them, doesn't respond to their needs properly etc.) to the flock being aggressive and potentially hurting or even killing the chicks. I've had some of those scenarios happen to me as well, turning the whole process into a lot more work. You won't know how it's gonna go until you get there, so, especially if this is your first time (and her first time), and you will be unavailable because of work, this may not be the best time.
If you still want to try it, you can try to foolproof the process as much as you can to prevent some of the above bad scenarios. The easiest way to do that is to put the broody in a large wire crate inside the coop (and this is where having a nice big roomy coop like yours, and not one of those cutesy lil dollhouses, really pays off!) Make a nest for her out of a shallow box at one end of the crate, and put food and water at the other (elevated on bricks so she doesn't kick shavings into them or poop in them). Move her to that nest after dark, and leave her there until her chicks hatch. This will guard against some of the possible fails - returning to the wrong nest, others crowding her and breaking her eggs, etc. You'd still need to check on her daily to clean her massive broody poop and refill food/water, but that's it. After the chicks hatch, open the door of the crate. When she is ready, she will lead them out, and because they've been within sight of the flock, you won't need to do integrations. After having a couple of things go wrong with the completely hands off approach, this is what I do now, and it's working really well.
Here's my broody from this past spring. A few things to note:
- She's on the floor, not in a nest, because she refused all the containers I made nests in for her. This is not ideal, because she kept pooping near the eggs and getting

everywhere. Next time I'll try harder to come up with a nest that her highness approves of.
- The crate is under the roosts, so I tied a feed bag to the top of it so she doesn't get pooped on.
- There is clear plastic around the bottom of the crate, to prevent the chicks from slipping through the bars and wandering off, unable to figure out how to get back in (it has happened to me... chicks are stupid)
- After the chicks hatched, I put a stepping-stone brick next to the other bricks so the chicks could step up and reach the food and water, but I kept everything elevated, otherwise they make a huge mess.
- Good luck!