Mat 19:9 says that anyone who divorces his wife except for fornication/adultery/immorality (depending upon translation) and remarries, commits adultery. And whomever marries her is committing adultery as well.
Women couldn’t divorce their husbands back then, so the reference only covers a man divorcing his wife, but I think it’s safe to assume it goes both ways. The principle is obvious: God recognizes divorce in cases of fornication/adultery/immorality. It says that a man who divorces his wife and then remarries is committing adultery EXCEPT in the case of fornication/adultery/immorality. Since there is an exception mentioned, one can only assume that he is NOT committing adultery if that exception is met.
So if your ND wife divorces you, she must have sex with someone else before you are free to remarry without committing adultery.
I’m no religious expert, so I really don’t meet your requirements for answering this – but that’s my not-so-expert opinion.