There was some critique of it, but I didn't analyze it that deep.
I can't unhear it though, and it makes sense. Like all the promo of Ruby/Kate's queerness, it is pushing it a bit on the 'I'm a women' and making it seem so superior over men.
Supergirl did tone it down, so just hoping it is a promotional phase. I hope the show doesn't throw a lot of shade at Batman. I was worried about that with Supergirl at first.
It was a great trailer other than that.