I am affraid that you did neither pilot a figther jet, not thought through about the consequences of having a woman pilot.
In war, sometimes planes get shot down. Some other times, planes malfunction. In either case, the pilot, if is lucky, parachutes and get captured. Then what? The woman pilot tells her captors that on TV our planes do not crash or get shot down? And if they laugh, does NOW sues them?
And you don't need even a war to see that piloting jets is not for women. Almost everybody - men, women, teenagers - can pilot a plane AS LONG AS EVERYTHING IS NORMAL. As soon as something is out of ordinary, men are wastly better in judging these situations and have a much better chance to reach the correct decision.
If you need more proof that women do not belong in the cockpit, then here it is: Tara Hultgreen