Men are stronger (read: better suited as far as muscle) than women in some ways. Not every thing - its mostly the upper body strength that sees the distinct gap. Speaking of averages - not the male gender on the whole vs. all females.
On the strength question, if someone has a better link than this, I'd appreciate it:
http://www.livestrong.com/article/509536-muscular-strength-in-women-compared-to-men/
And you're not showing much knowledge of martial arts if you think "Hey, he's stronger, therefore he's going to win even if he's less skilled".
So not only are you not comparing apples to apples (Claiming a less skilled but stronger fighter would win because he's stronger), you're assuming strength - especially upper body strength - is the decisive factor in a fight - ignoring endurance, experience, will, and smarts (related to experience), to name the four things that come to mind to me.
Muscular coordination is probably going to pay off more than mere upper body muscle in a fight. I'd happily listen to anyone with experience in martial arts indicating the contrary, but my reading on the subject suggests overall fitness is more relevant than mere power.
If "raw power" alone was the key to winning, the ideal fighter would look like a sumo wrestler. I have never heard of any such thing being regarded as ideal outside such forms of combat, which are irrelevant to our hypothetical prefects.