Heels are a controversial thing in the work place. Some people see them as a symbol of oppression for women because they are uncomfortable and serve little purpose but to make women taller and their legs look longer (which to many people translates to sexier).
On the flip side. In past history men have worn high heels too. And some feminists see them as a symbol of empowerment.
There have been more than a few controversies over workplaces forcing woman to wear hears. Especially on jobs where they are on their feet all day like retail.
In any case, not the best choice of a symbol.
I merely noted that it seemed strange, because although both of those attributes are associated with a particular gender, in reality each represent only a minority of people.
For instance, among my co-workers, only a minority of women regularly wear high-heeled shoes, and only a minority of men have mustaches.
It would be similarly weird if women were represented by Virginia Slims cigarettes and men as Montecristo cigars. Yes, more women than men smoke Virginia Slims, and more men than women smoke Montecristos, so each is identifiable with a specific gender. But my point is, most people don't smoke!