I would think wages would go up, especially in the fields that women dominate, but so also would the cost of provisioning those services.
In some cases yes, in others costs would hold or move minimally because labor makes up a small fraction of the end cost or because the women were employed in net negative roles like HR, PC Enforcers, and other bureaucratic makework.
But even if it does lead to rising costs in goods and services this is ultimately necessary, they should be priced such that people are paid well. I'll gladly pay increased costs in order to return to a world where men can support middle class families on a single income.