Resentment of women workers was more of a white issue, as black families often depended on multiple jobs holders (Oluo)

White men didn’t want to give up their positions to women employees, but black workers often made lower wages and therefore depending on both men and women to work real jobs for income.

References

Resentment toward working women during the Great Depression was a uniquely white problem. In many Black households, women had always worked to supplement the discriminatorily low wages paid to Black men and to help balance the effects of widespread hiring discrimination that kept Black workers out of many fields of employment. Black women were not expected to stop working due to any misguided efforts to preserve jobs for Black men. — Mediocre, pg 141