Politicization of LGBT Groups

Which major New York City LGBT community group is politicizing which organizers and activists are allowed to use its conference meeting spaces ? I just got off a call, during which a conference space representative for the major LGBT group told me that there were "other places to have a meeting." This major LGBT community group controls the most affordable meeting spaces for LGBT and other activists in New York City. If this major group is allowed to deny public accommodation based on a political litmus test, then freedom of speech is willfully being perpetrated by this major LGBT group.