The 'power' of a gun is mainly down to size and weight needed to handle the kickback from the explosive force of the charge and the force of the bullet being fired . So I am afraid that in the world of hand guns a smaller gun really is less lethal with less penetration and stopping power, therefore a smaller gun would leave a police officer at a significant disadvantage against a well armed opponent.
So giving a female officer a smaller gun is just not viable , the same would apply if the officer was male but of small stature with smaller than average hands. It is a fact that a smaller / lighter gun IS less lethal , it has to have smaller calibre ammunition and a lesser amount of propellent (the explosive charge) . You can't change the laws of physics ! In this case the law that action and reaction are equal and opposite. If you did put larger ammunition and propellent in a smaller gun the the lower weight would not absorb the 'kickback' as effectively the weapon would be inaccurate even if the force of firing did not cause it to explode in the firers hand!. The '45s' of the 'wild west' had a huge bullet of 0.45 inch dia , hence the name, but they were notoriously inaccurate and frequently exploded or broke the wrist/arm of the firer.