A common knock against women as either fighter pilots or race car drivers is that they lack the sense of spatial and movement awareness that men have. Men have a better innate sense of their own speed and vector, and can track another object and instinctively track it’s speed and vector, and instantly compute that track of the two objects and predict where they will be. Men also can instantly compute changes in future course based on changes in the speed or vector of either themselves or the other object. These are really good skills to have if you are racing an F1 car or flying an F16.
These were necessary skills genetically imprinted back in the old hunter-gatherer days, and honed in centuries of physical competition like sports and combat. Women historically did not have to hone these skills, and thus generally don’t have them to the same degree.
Not to mention her vision impairment in the cockpit wearing a burka.
Since most target set-ups and analysis are done by computers or ground stations there is little need for that "hunter/gatherer" genetic factor. Better you can keep the 'blue side up' when required and not bend the metal on landing. Except in super market parking lots most women have that skill.
What you say may very well be true statistically, but that doesn’t make it absolutely true for all people. Men are taller, statistically, than women, but individual women can be much taller than individual men, the average male height, or even a tall male height. I think charges of racism and sexism arise from the misuse of statistical quantities to imply subgroup absolutes, as you have done. That pilot in particular might very well be able to wipe the floor with you on spatial reasoning tasks, for all you or I know.
About 75% of crashes are due to pilot error. Female accidents are more often due to mishandling the airplane, whereas male crashes are more often due to taking stupid risks. Overall, male pilots are more likely to be involved in fatal crashes.
http://aviationknowledge.wikidot.com/aviation:pilot-error-differences-based-on-gender
The above is based on studies of general aviation pilots. Obviously, fighter pilots, male or female, would be way to the right on the bell curves of aptitude.
Just because the statistically average male has better spacial skills than the statistically average female does not mean some women are better at it than some men. It also does not mean some women are good enough at it to be fighter pilots. Statistics work on populations, not individuals. My sister flew fighters in the USMC and did a darn good job at it. Now she is an instructor pilot so apparently they were satisfied with her skills.