Private companies are not above the law. I'm not sure what you are implying. This has been going on for the lingest times, different times, same discussion,
Read this:
Free exercise of religionMain article: Free Exercise Clause of the First Amendment
In Sherbert v. Verner, 374 U.S. 398 (1963), the Supreme Court required that states have a "compelling interest" in refusing to accommodate religiously motivated conduct. The case involved Adele Sherbert, who was denied unemployment benefits by South Carolina because she refused to work on Saturdays, something forbidden by her Seventh-day Adventist faith. In Wisconsin v. Yoder, 406 U.S. 205 (1972), the Court ruled that a law that "unduly burdens the practice of religion" without a compelling interest, even though it might be "neutral on its face," would be unconstitutional.
The "compelling interest" doctrine became much narrower in Employment Division v. Smith, 494 U.S. 872 (1990), that as long as a law does not target a particular religious practice it does not violate the Free Exercise Clause. In Church of Lukumi Babalu Aye v. City of Hialeah, 508 U.S. 520 (1993), the Supreme Court ruled Hialeah had passed an ordinance banning ritual slaughter, a practice central to the Santería religion, while providing exceptions for some practices such as the kosher slaughter. Since the ordinance was not "generally applicable," the Court ruled that it was subject to the compelling interest test, which it failed to meet, and was therefore declared unconstitutional.
In 1993, the Congress passed the Religious Freedom Restoration Act (RFRA), which sought to restore the "compelling interest" standard. In City of Boerne v. Flores, 521 U.S. 507 (1997), the Court struck down the provisions of the Act that forced state and local governments to provide protections exceeding those required by the First Amendment on the grounds that while the Congress could enforce the Supreme Court's interpretation of a constitutional right, the Congress could not impose its own interpretation on states and localities. According to the court's ruling in Gonzales v. UDV, 546 U.S. 418 (2006), RFRA remains applicable to federal statutes and those laws must still meet the "compelling interest"
Free Exercise Clause - Wikipedia, the free encyclopedia
The only way this woman can lose is if Abercrombi has compelling interest:
"compelling interest" in refusing to accommodate religiously motivated conduct .....
This has to be substancial too...They can't just say "it doesn't fit with the image of the store, etc...