Yes, thank you so much for taking care of this kitty.
At the cat sanctuary where I volunteer, a cat had burns on its fur/skin, at least, that's the best guess of the vets and other knowledgeable cat owners. One volunteer spent several hours every Saturday massaging the cat with olive oil.
I don't know how that would interfere with Kitty cleaning herself.
Otherwise, yes, I would watch for any other signs of illness (who knows *what* the abusers fed her) and take her to the...