What you seem to be saying is that harder jobs, or jobs requiring more education, pay more. I don't buy this "emotional rewarding" idea, since that seems to be your unsupported guess, potentially a "god of the gaps" way to explain sexual differences in careers, and because some typically male careers are emotionally rewarding in their own way. I also don't know that women try to be artists more than men do. (I was never partial to the "starving" part of that, although I would benefit from calorie reduction.)
So, you've failed to explain why women get easier jobs that require less education, while men get harder jobs that require more education. There's a tremendous number of things that could explain it partially or completely, and they vary from the downright sexist to the neutral.
As far as your last paragraph goes...I don't know that there is any real obstacle to women in management, although I do see more men in such roles, but showing that a man can get an MBA and become a manager is not evidence that a woman could.