Catwoman and Batman are both pretty good hand to hand fighters. Of course Batman will always be the superb fighter. His skills have been improved to a degree that he is one of the top hand to hand fighters in all of DC. Catwoman is good, but she’s not That good.
Catwoman has finally back to fight, but sadly for her it was a loss. She’ll be back, as no one stays dead in the blog. Batman will also be back, a couple of times in fact. Batman’s just too popular to go down. You could even argue that he’s the most popular character in all of comics….though you may not want to go that far. Batman wins.