I... don't like this. Specifically, I don't like how she's all: Aruba!
I just think Selina would totally get off on Batman being Gotham's protector and want to be in on hanging with him and watching him beat up people more than she'd want to hang out with Batman. Who gets a weird tan from his cowl, anyway.
I figure they have very nice rooftops where they work off their tensions and she loves the fact that he's the troops' first call in emergencies. And enjoys helping him out when she can.