Paul, A 13 year old is home alone at 4 in the morning, and you're worried about making your wife mad???
If my son (or step-son) called me at 4am, and was alone, I would be there at 4:15, never to leave again. Or, I would call the police and/or social services, and have her investigated for abandonment.
But that's just me.
Gawd, sometimes the gymnastics everyone goes thru around here to NOT piss off their wayward spouses just KILLS me. "DO THE RIGHT THING, IN EVERY SITUATION" should be your guide!!! And this one's not even difficult, is it?