In the case you refer to, the school itself failed to avail itself of the opportunity to register itself as a "religious corporation," which would exempt it from prohibitions against discrimination by a place or provider of public accommodation under the New York City Human Rights Law:

> Yeshiva does not meet the definition of “religious corporation incorporated under the education law or the religious corporation law,” which would exempt it from the prohibitions against discrimination in public accommodations as an organization “deemed to be. . .distinctly private”

Moreover,

> Yeshiva already recognizes LGBTQ+ student organizations at three of its graduate schools, which are legally part of Yeshiva’s corporation, has done so for over 25 years, and made clear as early as 1995 that this recognition did not mean Yeshiva endorsed or accepted the views of those student groups.

Hence,

> Yeshiva University must formally recognize an LGBTQ student group, rejecting the Jewish school's claims that doing so would violate its religious rights and values.