There may not be a Batman that we've seen in the Arrowverse or on Supergirl's Earth-38 that we've seen in-person just yet, despite the name drops, but that is definitely a Batwoman right there with the Bat-signal shining high in the sky behind her.
This first look at Batwoman comes as the crossover begins shooting in Vancouver BC. I guess Barry and Co won't get much rest after their landmark 100th episode airs on December 4. The character of Kate Kane is a lesbian, and some Twitterers didn't know that Rose was too. Is this the costume you imagined Kate Kane in?
It's a pretty spot on take on Kate's iconic look in the comics - especially the flowing hair coming out of the back of her cowl - even if the lower part of the suit has been a little more streamlined. And what are you hoping to see in DC's crossover events?