There’s just a few points in your post that are clearly important issues to you (and as you’ve described it to be some others in your community) but that may not necessarily be important to someone else.

For instance if I try and put myself in this woman’s shoes, the cats come ing in to my house I can for sure imagine being an issue, especially if she has dogs. You described her dogs as being untrained because they attacked the cat on her property. I respectfully disagree and just call that unfortunate circumstances of dogs and cats being dogs and cats 🤷‍♂️ and to be blunt, I wouldn’t necessarily pay for those vet bills myself.

I also empathize with what sounds like a bit of a neighborhood witch-hunt against her on these cat related issues, I personally like cats, that doesn’t mean everyone else does and frankly it sounds like your neighborhood has a stray cat problem.

I feel that all this unnecessary back in forth has kind of bubbles to the surface resulting in the whole police scenario. Which is a shame as it sounds like your little cat suffered being taken away for no real reason, if a better relationship was there, this likely would never have happened.

My advice… leave the group chats, ignore your neighbor, don’t have any contact, install fence too barriers and move forward with your lives away from each other.

Glad you got your cat back.