My husband and I rescued a dog about a month ago from a shelter. The woman who owns the shelter used to sort of date my husband before he and I got together. He says they never made things official because she wouldn't commit or didn't want a relationship or whatever. 

He said she messaged him a few days ago and wants a picture of him and the dog we rescued to put on their page. I asked him if she wanted me in the picture too since he's our dog... He said that she just mentioned him. 

This same woman calls him pet names when they talk and she was very touchy-feely with him when we got the pup. My husband isn't affected by this; he doesn't care that she does this, he's just unfazed and thinks I'm being jealous. He says she's like that with everyone, but she has never been like that towards me and only speaks to me when I talk to her first. By no means is my husband going to run around on me with her (or anyone else) and I'm not concerned about that, I just think it's really disrespectful to me that she does this.

Should I be in the picture too or sit it out? How can I better explain to him that I don't like how she acts around him?