If they wanted a female character they could have picked from Power Girl, Starfire, Zatanna, Supergirl, Black Canary, and so the list goes on of more popular, more interesting characters.
If they wanted a female bat character they could have put in Poison Ivy, who'd at the very least be visually unique and likely fun to play.
If they wanted a female bat character with "bat" in their name, they could have put in Batwoman, the actually interesting version of Batgirl. I guess gay characters don't get cross-promotion at DC yet, even if their books are on another level in terms of writing and art.