If the law really prohibited posting of all "private, intimate photos" then that does sound unconstitutionally broad and vague. That definition would include a photo of a fully clothed couple sitting in front of a fireplace.
Knew this was coming........SCOTUS will have to decide, eventually....................
The Missouri law that Gov. Greitens is charged with breaking makes it a felony to take a picture without permission, if it is taken in a place where privacy can be expected. The law was written to prosecute peeping Toms and lowlifes who have hidden cameras/peep holes in dressing rooms, tanning salons, etc. But it was stretched in his case to include inside a person’s home. So if I take a video of my sleeping wife (to prove to her that in fact that she snores), I have not only made a foolish mistake, but committed a felony.
If you get or allow those pictures to be made believing that they will never become public you are a fool regardless of the law.