Until our recent move, we had a dog. So this isn't coming from a non-pet person. I HATE going to people houses who have a dog(s) that jump on you, try to eat your food off your plate, sit on you, etc. I'm allergic to most dogs and even though my friends KNOW this, they still keep their dogs in the house when I am there. I will even FULL ON break out in hives in front of them and they keep the dog inside. I have accepted that they are like this and assume its an attitude of "if you don't like it then don't come over". Which I am tempted to do but I would like to have a few friends.
I am throwing a party in a couple weeks for my husbands 40th birthday. Like I mentioned, we moved to a rental for no pets so we don't have any, which for more than one reason I am happy about. However, we have an older friend who we invited to the party and asked if she could bring her little dog. I simply said, "no pets please". She has since left me a voice mail which I'm sure if I return her call will be putting me on the spot and begging me to let her bring her dog. There frankly is no reason for it. I'm allergic, there will be a lot of people and I don't want to deal with it.
So no, I don't think you should bring your dog. I guess if your husband already asked and they clearly said yes, then it isn't an issue. However, if she didn't directly answer, then they probably would prefer you not to bring the dog and I wouldn't.
This reminds me of a July 4th party we went to several years ago. They had 3 dogs running around the house, actually jumping on the chairs by the table and LICKING AND SNIFFING at the food!!! I shooshed them away when I saw it and was bad mouthed by the mom saying I was "being mean to her dogs". Oh my, I guess I'm the only one that minds dog hair in my food and LICKED by the dog before I eat it. Gag. Just my opinion. lol