Toddler hurting cat

We have a 2 1/2 year old. We have two cats. The one cat, (the older one) She pets her and is nice to her, only a few times has she done something she wasn’t supposed to, the cat scratched her hand. However, this cat, while she isn’t mean, she wouldn’t let someone grab her in a mean way (pulling her ears or anything) after that, she hasn’t been mean since.

Now we have the second cat. She’s 4 months old. Very lovable and has no problem with anyone picking her up or anything. She was in the shelter and she was neglected so I think that’s why she doesn’t fight back with my daughter.

Anyways, my daughter is SO mean to her. I try so hard to watch her and keep her away but sometimes I can’t. I have caught her throwing things at her, picking her up by her tail, squeezing her neck, pulling on her ears and pulling her off the bed, smothering her with blankets, and the last incident, the cat was in her cat bed (it’s enclosed) and my daughter picks it up while she’s in it and throws and kicks it.

I have tried EVERYTHING. I sit with her and show her how to be nice and love on her and she does it and she’ll say “be nice” “be easy”

After she hurts her, she’ll say “ouchie” and try to kiss her.

I have put her in time out, taken toys away, smacked her hand or butt, talked to her, yelled, I’ve been calm and simply showed her not to do that, everything I can think of but she’s not listening.

I should add that she’s not like this to any other cat. My mom has 6 and she is nice to all of them. My dad has 1 and she will lay with her and pet her. It’s only this kitty but I don’t know why. She’s not a mean cat. She doesn’t fight back.. maybe that’s the problem? I don’t know. Please help before she kills my kitty. 😩 for now I have them completely separated as much as possible

I really don’t want to rehome her. She’s an amazing cat and my husband named her after our daughter that passed away. He is completely attached to her. But obviously we will do it if we absolutely have to. We would just like some ideas on what to do or if there’s any other advice to get her to stop or why she only does it to this cat. If it doesn’t stop then we definitely will have to rehome her. That breaks my heart.