Husband's female coworker hugs him and I feel uncomfortable about it

Eva

My husband works at a very well known retail store at their most popular location in the US. Yesterday he randomly started talking about this girl at work. He started by saying she looks like Tila Tequila but with a better face. Then he said she hugs everyone at work. This automatically gave me this warm stinging feeling in my chest. He continued on with this anecdote about her for a while but the first thing I said when he was done was "Does she hug you?" And he said she does but kept talking so I wouldn't get a chance to respond. Still, I brought it back to that and told him it makes me uncomfortable for her to be hugging him and I want him to stop her from doing that.

A little backstory--he just started at that job and couldn't have had more than 10 interactions with her. My husband is 23 but everyone else at work is younger than him and no one else is married. They're basically all really young and single so no one assumes he's married. I asked him if she knows he's married and he said yes but of course I had to ask if he actually told her himself and he said no but people at work gossip. That's not a legitimate reason to say she knows!! So it seems obvious to me that either she doesn't know or doesn't care that he's married.

Anyway, today he went to work again and he called me on his break and told me the girl ran up the downstairs escalator to catch up to him and tell him that they should hang out. And my idiot husband said yes. He made the excuse that he wants to throw a party and invite his coworkers so that's what he meant when he said yes, but he didn't tell her that part! As far as she knows she just asked him out and he said yes! Like how disrespectful is it to me, his wife, to say yes to a girl who suggests the two of you get together outside of work! And he told his male coworker about it and he got the same impression as me about how it seems like she was asking him out, not just as friends.

So my question is, was I wrong to ask him to not let her hug him anymore? We got into a big fight about it because he's a dick who makes excuses but I'd like to know if I'm too controlling.

Also, do you guys think he could have handled this better by making it clear he's not interested in her? Am I really being disrespected since he's letting it get to the point where she asks him to hang out with her? I'd like opinions, thanks.