Both in and out of the mask, Lynx was very cautious about her image. On top of following the Bat-Code of no killing and no guns, she never cussed. She had a good relationship with the police force, both in NYC and London. She wanted to be a good role-model.
Having sex in an alleyway in front of tied up criminals was not being a good role-model.
She pulled away from the kiss, wincing as though it hurt to do so. Still breathing heavily, she pressed her lips to his ear. "One of your Robins." It was a goodwill gesture, one she was hoping he'd reciprocate.
Then she pulled out her grappling hook and fired at the nearby building, propelling herself up to the roof. If he didn't follow her, she would have a place to cool off. If he followed, there would be more privacy than on the street-level, and they could continue down this track...