Still difficult to know whether this is a religious affiliated medical practice. It appears that it is but if you want do some on-line research for Esperanza and see if this clinic is part of their "ministry." If it is, then what the employer is doing is legal. If it isn't, then it appears their is some religious discrimination going on.XXX Health Center is a nonprofit, 501(c)(3) corporation, and all donations to support Esperanza's ministry are tax-deductible. Your generous contribution will help support many vital services offered to patients, including adult and pediatric primary care, behavioral health services, dental care, prenatal care, nutrition counseling, health education and outreach, social services, HIV care, and spiritual and pastoral care.
I don't know if this helps
Either way, since your friend isn't comfortable with the environment, I'd advise her to start looking for a new job elsewhere.