Economics should be defined in terms of what it is about. It should be about how people produce things, how people exchange them, how people earn income, how they pay taxes, how the government provides infrastructure with tax revenue, and how it conducts monetary policy. The subject has to be defined in terms of the object of inquiry.
When women earn the money for the family, everyone in the family benefits. We also know that when women have an income, everyone wins because women dedicate 90% of the income to health, education, to food security, to the children, to the family, or to the community, so when women have an income, everybody wins.