Apparently she might be the next Batwoman even if some angry vocal "snowflakes" (let's call'em that) are not too pleased because she isn't jewish or lesbian enough
It's kinda hard to find an actress who is 1. Attractive (it is a CW series, after all), 2. Gay in real life, 3. Jewish in real life, 4. Able to act. CW went with the attractive and gay in real life options. Entertainment shouldn't go by what the Mary Sue.com wants.
Speaking of The Mary Sue, they posted 6 other people they could've chosen to be Batwoman, at least some of which match up with the criteria you listed:
Evan Rachel Wood