Born in 1906, he was in America in 1948-50, when he would have been in his early 40's. His family in Egypt was prosperous by Egyptian standards, but not by US standards. He also was not particularly handsome.
I suspect the real reason for his outrage was that none of those "immoral, decadent, Western" girls has interested in being immoral with HIM. He couldn't take rejection.
LOL! I have always wondered if Qutb was pissed he couldn’t get any girls to dance with him.
If nothing outraged Muslims, they would just make something up to outrage them.