Why is it correct to advocate violence with violence?
A person cannot claim compassion on belhalf of one living creature(the cat) to deny it to the other(the woman).
If the woman does have a mental illness, she deserves compassion, if she doesn't she still deserves compassion. As does the cat.
The definition of compassion is: wanting others to be free from suffering.
Quite frankly I am appalled by those who claim she deserves a physical punishment for her behaviour without even knowing the root of her"logic" for her actions. So many have damned this woman knowing nothing of her. If you say that does not matter, it makes you just as "bad" as she is.
Thankfully the world does not work that way(in law at least) and those who operate in this manner I find odd. If hurting a cat is the first step to a deviant life, what is the next step after hurting a human?