I'd recommend waiting till the wound seals over before offering her any bathing opportunities. Do you know what it was caused by? Overactive rooster, botfly, other parasites? Molting or feather-eating?
Keep an eye on it for now to make sure it doesn't get reinfected, especially if you didn't clean all the puss out before adding the Neosporin. If she's picking at it, you may need to wrap it too so it has a chance to heal.
Inspect and remedicate often till it starts to close up. If the area starts getting hotter than the surrounding skin, this is a good indicator that the infection is still there and you may need to re-open the wound if it worsens to clear out any puss or infected tissue.
Ideally, you want to use antibiotic ointments that do 'not' have pain relief for birds. If your Neosporin has pain relievers, it's probably best to swap out for one that doesn't when you can.
I'd check a few times a day for now, or at least once a day, to make sure it's staying clean and packed with antibiotic cream. This should help get things on the right track.