There are pros and cons of experience. A con is that you can't look at the business with a fresh pair of eyes and as objectively as if you were a new CEO. Fire yourself on a Friday night and come in on Monday morning as if a search firm put you there as a turn-around leader. Can you be objective and make the bold change?
Women are clearly the major consumers in far more than just female categories. It doesn't matter whether it is purchases of cars, cosmetics, or even products for men, female consumption power is the leading consumption power in the world. Any company that overlooks the woman as the decision maker is making a huge mistake.