The POTUS is the boss of the executive branch of the federal government. Period.
Michelle Obama is almost certainly the boss in the Obama household. In the WH and federal government, she was not the boss in any way, shape or form outside of the East Wing of the WH.
FWIW, Mostromonaco said, "If he was mad at you for any reason, you'd be, like, 'OK.' If she was mad at you . . . if you thought for some reason she might be, you were, like, 'I'm in so much trouble."' Well, guess what? If one of my staff managed to irk my wife, mistress, children, parent, friend, cousin, or any other individual who's only connection to my job role, thus to a member of my staff, is their relationship with me, my staffer would indeed be in much more "hot water" than were they to displease or disappoint solely me (and/or other principals in the firm).
I mean, really. How does one pluck a principal's spouse other than by being personally disrespectful to them? With regard to the people who but have a personal role in the lives of one's coworkers, one simply does not traduce protocol by, having neither something nice to say nor polite gesture to make, saying or doing anything.