In general, women tend to have 15% lower body mass than men, this means shoes must have a deeper groove that can provide greater flexibility, which, translates to a smooth and natural toe-off motion through the running patterns of the foot. Seasoned runners agree that a little less foam in the overall cushioning of a running shoe goes a long way for female runners.
If you have flatter feet then running shoes with more cushioning is the way to go. Having extra material to absorb impact on ground strike will translate into more distance and less fatigue. Runners with a more neutral foot type can make selections that are considered more “middle of the road”. Make sure you also check the way that your old shoes wear on the outsole, this can tell you a lot about the way you step.