What is the role of women?

Answer 1

Women have traditionally raised the children and kept the home fires burning. Perhaps it is the same for a lower percentage of women than in past generations. These days, when most are also working at a job, this becomes a matter of managing priorities. Certainly in many ways women have a greater capacity for managing ambiguous expectations all at the same time.

Answer 2

The same as the role of men.

What else would it be?

Doing the cooking for the real economists??

Unfortunately there are still relatively few well known woman economists, but whether that is something that will soon change or not, who can tell.