I'll try my best to give advice, as I'm still new to this.
Personally, I found that if even if the wound isn't bleeding the chickens tend to peck at the odd patch of skin. I have a naked neck chicken, and for awhile this was a real problem for her, as the other chickens were very fond of playing with her exposed skin. We used the purple stuff you mentioned, which helped to stop the pecking, but did not help the healing process.
If you're dealing with a raw/bloody patch, you will want to separate her, since it's easier to make sure she isn't being pecked than to just hope that the deterrent against pecking is working. This gives her some time to rest and recuperate, and hopefully heal.
Neosporin works well in speeding up the healing process if it is a wound, but if it's a bald spot, you may just want to give her time to regrow her feathers. If your other chickens peck at her spot, and none of the deterrents are working, then separation is best. Also, if you have a known "bully" it might be a good idea to correct that behaviour before you end up with more feathers plucked.
Just for curiosity's sake, did you introduce her by herself to an existing flock? Or has she been raised with the same group of chickens her whole life? How big is your flock? And what type of chicken(s) is she and her friends?
I have found that polish, naked neck, and silkie chickens seem to be the most pecked because of their odd feathers. (Or lack thereof) And generally any chicken with a puff on their heads seems to be at a higher risk of being pecked. I haven't had trouble with bearded chickens, but any sort of feather growth that might be considered different might be part of the reason she's being pecked.
If possible, a picture would be good, but I understand how hard it is to get a chicken to stay still for a good view of the injury. One more thing, before I become too much, how old is she and her companions? I'm not sure if it's just me, but I find younger chickens still finding their own pecking order tend to be, well, more "pecky". Is that the case with your flock?
I hope this helped.
