If it is in fact a burn this is what I would do. Had this problem a few weeks ago due to a faulty rheostat....

I applied Neosporin 2 times a day in AM and PM, switched over to paper towels, and kept over head heat on her. I also kept the tank relatively dry for about two weeks. I dont know if that is recommended or not but after two weeks she shed and it is hardly noticeable. Almost perfect