Yeah, she's got spunk but going from that to "shut up" is like a level in verbal badass.
Personally, I think he's just trying to get people mad at the Joker. The Red Hood (female gentials-style mask) was established as something else but now the Red Hood (vaguely dildo looking) is trying to draw a line under the two, not for Gothams benefit but for Dick's because he's not emotionally ready to deal with that? I mean, who else would stalk Alfred too? He's dealing with crappy emotions and everything TD (though I'm told it was editorially mandated so maybe he can't be all to blame) put him though.
Jason has done it at least twice. He was trying to help his helpless mother (!) when it came to the Joker and, if you're going pro with him shoving Garzonas, it was him saying he'd be back to abuse her that made Jay explode the first time. Jason really does have a thing for rescueing damsels in distress.
And as for Daddy issues, Jason's got plenty (with Willis and Bruce) so I can see it rationalised either way with the situation with her Dad.