In adopting a no gay people need apply policy, Shorter is not alone among conservative sectarian and non-sectarian organizations. Christian campus groups exercise their First Amendment rights by discriminating against gay students (sometimes in rules governing leadership positions). The Boy Scouts of America bars gays and atheists from its ranks. The Supreme Court has not been entirely consistent in its rulings on private associational rights to discriminate: In 2000, it correctly upheld the BSA's right to discriminate against gay men, in violation of state law; then, in 2010, the Court incorrectly held that Christian Legal Society campus groups could be punished, by denials of official recognition, for requiring members to sign anti-gay "statements of faith" in violation of campus anti-discrimination policies. And, while universities gained the right to withhold minimal support from Christian groups that discriminated in accord with their religious convictions, Congress continued to fund the Boy Scouts, of course.
It's virtually impossible to imagine Congress withdrawing support and approval from the Scouts, especially these days, when it's also impossible to imagine Congress enacting a federal law barring secular employment discrimination based on sexual orientation. But it's worth remembering that 15 years ago (it only seems like ancient history,) the Employment Non-Discrimination Act (ENDA) extending workplace protections to gays and lesbians failed in the Senate by only one vote. That same year, 1996, the Defense of Marriage Act passed the House and Senate with strong majorities, which included liberal democrats who voted for ENDA. Now in a reversal of political fortunes, the likelihood of DOMA being overturned in federal court seems stronger than the prospect of ENDA being enacted anytime soon.