This enemy is the Red variant of Doge and Le'boin, with higher health and attack damage than either. He is slower than Le'boin, takes longer to attack and has slightly less range, so you can safely use Dragon Cat against him.
As said before, you can use Dragon Cat and other long-ranged cats like Bahamut Cat, Crazed Dragon Cat, or Bath Cat to outrange and deal a lot of damage to Lord Enma. Fried Shrimp Cat can tank many hits from him, allowing ranged attackers shown above and potentially Face Cat to enter his hitbox, freezing him temporarily or permanently if in True Form. With only one knockback, he can’t be unfrozen until death.