Not wrong no. It's the only way bullies learn. The reason she acts this way is because she's always been allowed to. No different than any animal if you let a dog chew your stuff up all the time it will carry on chewing you stuff up.
Do not allow this creature to make you feel bad. She deserved it.
I had one recently when i was cleaning at a car showroom. Now bare in mind she knew that if she asked me nicely I would do anything (example she asked me nicely to wash the bins out as the bags kept coming loose. Not a problem. A few times she asked me to do things I was happy to).
Now. I had been basically dumped at this place by the agency and told basics. It was a two person job and they never sent anyone else so obviously I wasn't working to the standard of someone who's been doing the job longer and has the required two people. The boss understood this and was supportive of me and praised me for doing what I could do.
But she took exception to my hoovering and decided to scream at me in front of a room full of people. Obviously intended to humiliate me (plenty of opportunity to quietly ask if I'd mind going over the rug in question again).
So I screamed right back at her. She's lucky I didn't lamp her tbh. Then I told my boss what I'd done and why and that I'm not the sort of person she will be able to bully.
Boss was sympathetic but remarked that she "comes across a bit nastily but she's really ok" so I just said well the only reason one comes across nastily is because they are being nasty.
Anyway I went about my job with my head held high and smiled manically at her every time I saw her and she didn't do it again.
These sorts of people need a sharp shock each and every time they attempt their crap. It's the only way. I'd go as far as to say I'd drive someone out if I had to. I really hate bullies.