How to handle neighbor's complaint of my barking dog?

The other day our neighbor that lives behind us approached my husband asking if the small black dog was ours. He sad yes and the neighbor complained that he barks a lot. My husband said "not really but ok, he's a dog". She was really rude to him and said she called the leasing office to complain and they told her our dog can't be barking. So my husband just told her "well he's a dog and you live in a dog friendly community so idk what you expect" and then he called her something i kind of wish he hadn't although i understand because she approached him rudely. BTW, we have a pug mix. In my opinion, he barks a lot but I'm not a big animal person nor did I grow up with them so I'm not used to hearing dogs bark. He barks when he sees people walk by, when he hears other dogs barking in the distance. That seems normal to me.

So my husband calls the leasing office and they confirmed no one called to complain about us. They then said there's nothing they can do because it's a dog friendly community and our dog is doing exactly what dogs do.

Now I'm kind of worried about them possibly poisoning our dog if they get that mad at him. I have heard them mutter "shut up" to him when he's barked but I always get my dog to quiet down. When we're away working, he has access to the patio (which shares a fence with theirs) and of course he's going to bark. He sees birds, cats and hears street noise. We can't do anything about it. However, when we're home we tell him to hush when he starts barking. In reality we don't know how much he barks when we're not home.

A part of me wants to approach her next time I see her by her car and see if we can be friendly. I would be OK with her telling my dog to be quiet if she goes out to her patio. He's a good dog and I can teach her his commads. It's usually "Name, hush. Go to your room" (his kennel) and he's good about being quiet after that. We are installing a camera from our bedroom just in case. As someone who's not a big animal person and sees her dog as a dog (yes he's family and all but he's still just a dog), i dont trust people who are less animal people than me. If I come home to my dog dead, I'd rather have video footage than not be able to prove it was them.