My dog was attacked by my cat, am I allowed to kill it?

My miniature German Shepard was attacked by my cat. She is not aggressive and only wants to play. I was playing with her by my mothers room where my cat was and immediately started to attack her. My dog did everything to get the cat away from her. I stepped in and began kicking the cat to get it off my dog. The cat began attacking my dog multiple times. Am I allowed to kill my own cat for the abuse on my dog?

Sadly the law doesn't prevent animal abuse or murder. But you wanna know my opinion? You are a fucking selfish bitch, and your cat doesn't need to be killed, she/he needs new owners. If she can't be around your dog, she doesn't need to be around your dog, that's it. Anyone who would kill their cat as a first option just because of something that can easily be solved should be killed themselves.