My thermostat for my uth malfunctioned, and the heating pad burnt out. My snake just laid on top of it while it was way to hot even for my hands. He has a white belly, and a good section of it is brown and crusty and I can even see pickish/bloody flesh on some parts. I had a vet check and he removed the crust and gave me instructions. I have been following the instructions, but it doesn't seem to be getting better. and I am worried about him

He still moves around a lot, and doesn't seem to be angry or stressed, but I just feel bad.
Am I still allowed to feed him?