Would Hogwarts Have a GSA?

When author J.K. Rowling revealed, after the publication of the 7th book in the Harry Potter series, that Dumbledore was gay, the question didn't occur to me.

But as reported on Queerty, the question did occur to "tiny gay tati // 8" who on Dec 16, 2014 used twitter to ask Rowling:

"do you think there are a lot of LGBT students in modern age Hogwards? I like to imagine they formed an LGBT club"

Just minutes later, J.K. Rowling responded with this:

"If Harry Potter taught us anything, It's that no one should live in a closet
...But of course."

That's a sequel I'd love to read!