My DM gave away several of my pets when I was a child, including when I was a teen.
The last time she did it I was 17 and I immediately quit my A-levels and moved out of home.
Losing a family pet can be a very big deal, even if there are valid reasons. For a teen, this can be particularly hard - there’s enough turmoil and hormones going on, so grief or loss (even “just” a pet) can be really hard for them to process.
The words you’ve used about your 13 yr old are horrible. Milking it, giving you attitude, abusing you, treating you like a criminal - and let’s not forget comparing her to your abusive ex. What awful things to say about a child who’s clearly struggling with the loss of a pet. Where are you considering how she might be feeling?! You aren’t.
Your child starting nursery is irrelevant to having a cat. I understand there are other factors at play here but lack of time is how you framed it in your OP. If you were as disingenuous with your child as you’ve been here, she probably knows it’s half an excuse.
All of your posts are about what a terrible child she is and what a victim you are, with little actual care to the reason your child is displaying such behaviour. Even how you describe your 17 yr old - “guilt tripping” you into getting a cat - most people would just say persuaded…… It all just seems to be about you.
And then you’re annoyed because some people on here are trying to explain why your teen might be feeling the way she is…..and you didn’t like that either. Seems as if you’re only here for us all to agree she’s a horrible child and to give you sympathy.
Having been that child myself, I know how big this feels. And I’ve also been in the position of a parent just expecting me to instantly be fine about it - which I very much wasn’t. Your child is allowed to be upset, it’s a fairly normal reaction to losing a pet. Healthy even.
On a more practical note, you need to consider how you handled the move. Did you properly prepare her about the cat going or was it just sprung on her? Of course you’re the adult and the decision-maker, but removing a loved pet requires tact and understanding. She may well need time to come around fully but you need to consider her feelings, not just yours. This might not be something she can just “get over” - especially if you didn’t handle the move well.
Just because you’re over the loss of the cat doesn’t mean that your daughter has to be. She needs to be civil during necessary interactions but trying to force her to communicate with you and “be ok” isn’t on. She needs time, space, and understanding but she also needs to understand that she doesn’t get to be rude to you while working through her emotions.