When they listed the show that would be heavily affected by Crisis, Batwoman was never one of them, the only difference I see is that 1. She's on the same Earth as Supergirl whose eventually going to have 2 ways crossovers with 2. Vampires exist and invade Gotham City but that could've happened in the Pre-Crisis timeline anyway but we'll have to wait and see. Pretty the history of the characters are the same.

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