If my wife came rolling in at 6am, I would turn out all the lights, lock up the house, and turn the alarm on.
And I would tell her that if it happened again, to not bother coming home, because I would have the locks changed. I'm sure you were concerned about her, and you probably didn't get a good night's sleep, and that's just plain DISRESPECTFUL. What if one of the kids had woken up in the middle of the night looking for their mother?
My wife did it -- ONCE -- with a 2am arrival. She got the message, and it never happened again.
The really need to focus right now on helping YOU -- not HER. Work on yourself, and give her her space, insisting only that your personal boundaries not be violated (whatever those are). Beyond that, it is not your job (nor is it ever a good idea) to rescue an adulterer from the consequences of their adultery.
