Damn, I hope Gordan balled Batman the fuck out for that. Striking a detective and taking her gun?
Given how many breaks the cops give him, Batman leaped over the freakin' line. I don't give a damn if she shot him. He's a law breaker, he defied a direct order, he was threatening an innocent person and she is a duly appointed law enforcement officer.
That she might have an additional grudge doesn't matter. Given Batman's known skill, a shoot to kill order isn't unreasonable.