I really like gentle iodine for cleaning wounds.
Walmart has it as do most feed stores. Of course it will be cheaper from a feed store usually.
Sterile saline also works well for flushing.
Personally we have had our best luck with just plain old Neosporin. Do not get the stuff with pain relief.
If you've never experienced chicken pus it becomes mostly solid and generally whitish in color. If she develops any of it you will need to debride the wound down to healthy tissue. Yes it will likely bleed when that happens. Chicken pus does not get absorbed the way the human body deals with pus.
I would say absolutely keep her body wrapped to keep the skin in place. You will probably need to trim feathers out of the way to help the area stay clean. Do not clip them down to the skin as you may need to pull them later if they don't molt naturally. Personally I've never had to do that.
Vet wrap and gauze is the best bet I would say to wrap her. Making sure the gauze does not stick. If you're having a problem with that oinment can be applied to the gauze as well.
I too would only keep her wrapped long enough for the skin to reattach but keep a close eye on the skin to make sure it doesn't become black and necrotic. If the would begins to smell that is infection! Agreed keep her wings free or she will likely just pull the wrap off. She may try anyway.
Be sure to keep her in a very clean environment and be aware that if the skin doesn't fully close and you let her out to dust bathe the wound will likely pack with whatever she is dustbathing in. Been there done than. We had a hen with a side injury caused by either a cockeral or a predator. Skin folded down into the injury. She was of course moved into the porch for medical care. She wouldn't tolerate a wrap but began to dust bathe in her clean bedding as she began to feel better. I used a hose to gently spray out all the stuff she packed her wound with.
Oh and if you ever need to debride a wound especially pus we like to irrigate with peroxide (if badly infected for the first cleaning), saline, iodine for the final cleaning after everything has been removed. Wet q-tips(with whatever solution you're using) can be gently worked under the pus and used to help get it out, just be sure it all comes out. If you leave any behind it can close over it and continue to fester.
On the same hen that dust bathed as mentioned above she also ended up with an infection. Not a horrible one and she has recovered just fine. However I did have to pull pus out of the wound. In that instance since I knew the hose worked to clean out the shavings. I used the hose to irrigate the wound and it loosened the pus which came out in almost one whole solid pocket looking shape. It was a deep would that extended under the skin a ways. There was one dime sized piece that didn't come out with the initial large chunk and I had to reach in and grab it. Q-tips, tweezers, all can be wonderful assets in caring for your flock. Interestingly this is only the second life threatening injury we've had that I can think of along the side of the bird. We've had a few minor cuts and scrapes and broken blood feathers. A couple sliced toes. A rat attack that became infected up and down the leg of a juvenile. The pus was removed in that instance and the juvenile healed but the rats had severed a tendon and we chose to cull the cockeral as his quality of life was questionable. The other big injury we had was a mink attack that almost took the life of one of our birds. Now a beautiful old english game bantam/sebright mix rooster he almost didn't survive. He had lost a lot of blood and his head looked like hamburger. He somehow managed to escape the mink and clotted. I got him over his shock and he improved rapidly but stayed in until the wounds were fully healed.
One coincidence the hen that had the side injury was also our first big injury, a couple years ago. Unfortunately she hid it so well the first time as it was under her wing that it became badly infected before we found it. Wound cleaning and care and a round of antibiotics later her name is Hope and she's a special bird. While the surface wound was small that time 1-2 inches it extended forward towards her chest 3-3.5 inches under the skin.
Chickens can survive some amazing things.