Well you must not be too much a student of history. In most societies throughout history women have been treated as lesser beings than men. Even in our own society formed on the basis of all men being created equally women did not even get the right to vote until 1919, about 150 years after the Declaration of Independence.
Some places in the world today women are still treated as inferior and have far less rights than the men.
So women are right to complain that they are not "allowed" to compete equally because even today, they aren't. Typically a woman who reaches the top of any profession has to work harder than her male colleagues to reach the same level.
It definitely WAS a man's world for most of history and even today is still very much a man's world in some countries. Sorry but when any person is restricted and discriminated agains then they are not competing with the dominant group. They are subjugated to the dominant group.
And any time one group dominates another group then the subjugated group has to be more creative to survive in my opinion.
You said one reason women can't compete is that they are not as creative. I don't agree and think that as their creativity is allowed to flourish and be directed at other productive things in life than survival and getting-along in a man's world they will prove to be equally as creative. If you want one-off examples, who invented frequency spectrum hopping. Betcha don't know without googling it, but that's cool, google it and see.
http://www.maximumpc.com/article/features/15_most_important_women_tech_history