It is illegal for employers in the United States to refuse to hire women solely based on their sex except in very limited circumstances where sex is a bona fide occupational qualification.
Employers can legally refuse to hire women for any job they want.

FactVerify
Source: factverify.com
Key Evidence
Title VII prohibits sex-based discrimination in hiring except for narrowly defined BFOQ exceptions. EEOC enforcement and legal precedents confirm that refusing to hire women solely due to their sex is illegal.
eeoc.goveeoc.govProhibited Employment Policies/Practices
What the Evidence Shows
The claim that employers can legally refuse to hire women for any job they want is inaccurate under U.S. Federal law. Title VII of the Civil Rights Act of 1964 prohibits employment discrimination based on sex, among other protected characteristics.eeoc.goveeoc.govProhibited Employment Policies/Practices This means employers generally cannot refuse to hire women simply because they are women.
There are narrow exceptions known as Bona Fide Occupational Qualifications (BFOQ), where sex may be a legitimate requirement for a job, such as roles involving privacy or authenticity concerns, but these exceptions are strictly limited and must be justified legally. Numerous cases and enforcement actions by the Equal Employment Opportunity Commission (EEOC) demonstrate that refusing to hire women based on stereotypes or generalizations is unlawful and subject to legal penalties.findlaw.comfindlaw.comCan Men Be Hooters Girls? When Can Businesses Hire Only Women?
While some employers may attempt discriminatory hiring practices, these are violations of law rather than legal rights. Therefore, the claim overgeneralizes and misrepresents the legal framework protecting against gender discrimination in hiring.