IMO, there is no such thing as a private life when you're a public figure. You need to be careful with what you're doing at all times because all eyes are on you. You would agree that her being the PM of a country kinda puts her in a different position than other middle aged women, would you? Sure, let's pretend she can do "whatever she wants" but at the same time she should be ready to face the consequences of such behavior.
The difference in being on camera and being not is again - appearance. Keeping appearance has been at the forefront of human civilization since the dawn of time and when it comes to political positions, even more so. You might not see anything wrong with what she's doing, but plenty of people do and that's what I'm trying to say. To say that everything is "fine and dandy" and "there's nothing to see here" is just ridiculous.