I didn’t read into this particular issue, but I know the museum in question, have been there a couple times, so some context:

• it was founded by some eccentric multi millionaire, who basically just does whatever he wants. The museum was originally free for everyone, until eventually he realised he was draining money really fast, so now it’s only free for locals.
• the museum changes it’s “theme” somewhat frequently. One time I was there the whole place looked like a grocery store, and the stairs to the actual museum was like hidden away in part of the store.
• the museum seems to thrive on getting strong reactions from people. Much of the art inside is quite shocking or provocative. They have an app where you can rate how much you like each artwork, and apparently they actively remove artworks which are too universally liked.

So it doesn’t surprise me at all that the museum is trying to be women only, but I really doubt it will be permanent, and I suspect that the strong public reactions is exactly the point.