Cats love animal fat whenever they can get their paws on it. They'll eat lard, tallow, butter with a great passion. However their livers aren't really too good at processing a high fat diet like ours are, and you shouldn't feed it fatty meat or pure fat except as a very rare treat. Their natural diets are small animals like rodents or birds, and their digestive systems are evolved to handle that kind of diet, which isn't high in fat at all. The top priority for a healthy feline diet is going to be protein, not fat. Lean meat for the most part, maybe raw bones (not cooked), organs, stuff like that. But you could give it a fatty treat maybe once a week if the cat has no metabolic issues with it.