Answer:
No, this would not be allowed as discrimination based on sex is prohibited by the fair housing laws.
Explanation:
Fair housing laws prohibit it when clients are denied renting or buying of a house on grounds of gender.
This is called illegal household discrimination. It is also illegal for home owners to treat present tenants differently based on sex.
In 1974 the Fair Housing Act was amended to prohibit illegal household discrimination. Although it refers to both men and women, it particularly aims to stop limitation on women's housing choices.