I think this is a case of "Everyone Is The Asshole Here". I think it's fatuous pseudo-feminism but within the context of art the museum should be allowed exclude men, so long as this is made clear to anyone paying for entrance. I still don't understand the entrance fee issue - some publications were saying there was an extra admission to that area.
The Ladies Lounge was created by Kirsha Kaechele, an artist and curator, who in a statement to the court described its central feature as a phallus-shaped velvet couch, or as she put it, “a tethered, rearing, restrained-by-golden-chains-and-then-ultimately-defeated phallus”.
It surprises me not one jot that the artist, in the end, centred a massive penis.