I think that spreading the rumor about Myra is nasty and low class.
BUT
If you think that BB's situation has no impact on the team and his standing then you are kidding yourselves.
BB MAY have brought himself and the team into disrepute with this incident. If there is nothing to BB's involvement and the husband is just trying to throw stones to better his position in the divorce, then BB is a victim and no harm no foul to the Pats, and BB can sue for defamation or slander or something.
If however BB IS involved he may no longer have a job, and it will have nothing to do with Myra. Bob Kraft can't keep the kind of team he has built together if his HC is a publicly acknowledged adulterer/home-wrecker. The situation is less clear cut if BB is involved but to a lesser extent.
The reason is because the Pats have standards of conduct for their players. They do not allow them to behave off the field the way they do in other cities. If the HC is behaving in a manner that is immoral and brings disrepute to the team and gets away with it, the team and the HC will be unable to demand that the players keep their lives in order.
The pot can't call the kettle black, and not expect to get laughed out of the room. If the players lose respect for BB and think its unfair to impose standards on them that the HC himself is able to breach, you have lost your credibility and your team.
It will also be a perfect grievance for the Players Union to say that they are holding young, black (mostly), poor rookies to a standard that the HC has violated, if they end up disciplining anyone for off field behavior. That would then open up the personal lives of the other execs to scrutiny - journos looking to see if its a pattern of hypocrisy with the club, do as I say and not as I do.
OH yeah, if he is involved, its a big deal for BB's future, and the blame will be his alone.