
In the meantime you could try using some Aloe Vera gel on it - preferably cold from the fridge, very soothing and perfectly harmless if licked off.
My rescue girl came to us with bald patches on both elbows, which sometimes irritate her so she scratches them and occasionally breaks the skin - Aloe Vera gel has worked really well for her, and a year later some of the hair is starting to grow back.