Even though my wife is trained, prepared, and equipped with a SIG 229 in 40, I think a woman that draws a firearm on a perp is enough to defer continued action. Especially if the woman is a red head. :-)
The real truth is seen in the FBI report on crime issued every two years. 2 to 3 million people, yearly, avoid being victims of crime because they are armed with guns. Most of them don't even have to fire them, just showing them is enough.
And these are just the people who actually report the incidents to the police.