Alternatively: Women are free to choose professions without having to concern themselves about making money.
Evidence:
1. Women make these choices more in richer and more egalitarian societies. Your explanation makes the opposite prediction and is therefore contradicted by the data.
2. Women care a lot more about how much a prospective partner earns.
2a. This is not due to women being "unable" to support a partner because they get paid less: the preference gets stronger the more a woman earns, not weaker.
"The economy" rewards those who produce goods/services that others find valuable. It's pretty bizarre to claim that the economy itself is somehow sexist, particularly when women make many of the purchasing decisions that drive demand.
