How should I handle a colleague spreading false cheating rumors about my husband?

So my husband is a theater actor and I always knew there'd be times were hed have to do uncomfortable things as part of his job. Like acting along side women who may play a love interest and such.

I also work in theater but as a stage designer so I've seen plenty of what goes off behind the scenes and the reality of it all.

I've always stay mature about situations were he may have to kiss another actress or pretend to be in love and such.

Ever since we got married my husband has calmed down on the acting and took a back seat doing more writing and directing but recently one of his old colleagues has started spreading false rumours around about him and his behaviour towards her.

This women is known to be a compulsive lair so no one is taking her too seriously and most people have stuck up for my husband.

she's very over weight and not very physically attractive. I remember my husband working with her very early on in his career and him not liking her very much but he still stayed professional and would be polite towards her.

I remember his first day on the job with her was also his birthday. She bought him a cake and insisted he stay behind to be with the rest of the cast and celebrate. He hates that kind of attention and just wanted to go home so he snook out the back and his agent asked her not to do that again.

I did tell him maybe he was abit harsh but my husband makes it a thing not to make personal connections with colleagues and literally just looks at it as a job which I can completely understand.

After that she'd constantly text him outside of work about her personal life and would try to touch and flirt with him whilst acting and would take things way too fair claiming it was improv. My husband is very textbook and didn’t like this and sometimes would get mad at her.

Now she's saying he cheated with her and he was abusive etc couldn't be further from the truth. I've told him to get the law involved but he thinks we should just ignore it and will go
How should I handle a colleague spreading false cheating rumors about my husband?
Post Opinion