If you want to protect your relationship you really need to consider family therapy and some one to one psychotherapy for yourself to process your trauma and be the grounded and calm parent they need.
Some signs of an unhealthy dynamic here:
the 13 year old is milking it.
there were times when she didn’t even want the cat in her bedroom
Dismissing and invalidating her feelings - how can you judge if she is overreacting? You aren’t inside her head, you don’t know how she feels about the cat
She is giving me silent treatment won't communicate with me and gives me massive attitude when she HAS to communicate with me
She feels unable to express her feelings to you, perhaps she expects you to dismiss them. Attitude is normal teenager behavior.
I feel very triggered as this is what her dad was like with me and she's the only one of my children who's in contact with her dad.
You need therapy to work through those triggers and stop conflating her with your ex
AiBU to feel like she's abusing me
Yes
I've begged her to 'be OK with me'
This is so unhealthy.
I'm so very anxious and sad
Please get the therapy you need and deserve. Maybe EMDR and/or psychotherapy help you.
She needs you to acknowledge, accept and validate her feelings.
‘I can see you’re really upset about the cat leaving.’
‘You won’t want to talk to me, perhaps you are feeling angry and frustrated?’