Wikipedia says some field aren't open to women, but doesn't say which ones. I believe her mother teaches sociology. At the women's college in Jedda the following degrees are offered: "Management Information Systems, Special Education, Nursing, Banking & Finance, Interior Design, Graphic Design. A program for Law Studies is planned for future."
In any event, it's not true that women can't attend universities in Saudi Arabia. Something like half of the university students there are women. Men and women don't attend the same universities and women can't study abroad unless a relative accompanies them, but there are opportunities for higher education for women.
Let's see: The father dies when Huma is 17.
Then somebody pays for Huma to fly halfway across the world and attend college at George Washington University.
Then somebody helps subsidize her once-a-day designer-label clothes-buying habit.
Then somebody helps subsidize her purchase of an apartment in downtown Washington, DC, one of the most expensive cities in America.
I wonder how you'd manage all that on a third-world Sociology Professorette's salary?