Once she is out of the carrier and more comfortable, it should get better on its own. You might put a little antibiotic ointment on it. It should get better by itself, though.
Our veterinarians have instructed us to use A&D ointment for our cats numerous times over the years. I agree that you don’t want to use anything with medications unless prescribed or recommended by the vet – what is inert to humans can be toxic to other animals.
A&D ointment or a bit of Neosporin is fine, but not too much. I’d only apply it once or twice a day, and really, only for the first day or so.
If it is a minor abrasion it will heal on it’s own in a few days.
Sounds like you need to get a new carrier, one that is made of nylon mesh or another design that she cannot injure herself on.
It will heal on it’s own, but you may apply a small amount of the Neosporin ointment, on a cotton swab or ball, to the wound after applying a small amount of a product such as hydrogen peroxide to clean the wound.
You can always seek advice from your vet, to set your mind at rest.