Title 3 of the civil right act there has been a number of cases,

woman fired for wearing a Hijab (She sued and won)

now hair is a messy subject, currently before the Suprme is a case about a woman who wasn’t hired because she had dreadlock.

There is also a case about a woman who was fired for being transgender and refusing to wear gendered clothing.

Title 3 prohibit discrimination based on Sex, Race, Religion
American disability act prohibit discrimination based on a registered disability.

those are the only federal laws that apply but its a case by case application.