Did I ever explain why I really liked that last image?
Batman didn’t save her (in the previous panels). She saved herself. She kicked ass, and all Batman did was help her up.
And then she saw that symbol and realized “I can use what I know.”
That is why Batwoman is awesome. No one had to inspire her. She inspired herself.
She helped herself then thought “I can do that, he’s not the only one capable” The only reason she uses the bat-symbol is for the same reason her father says, to show what side she’s own.