He totally ignored her struggle, not that he didn't notice, it was probably because he didn't care or wanted her to figure it out on his own. He hit the gas roughly and the 'mobile sped out of the cave with a terrific roar, and the trees eventually faded and the lights of Gotham appeared. He wasn't sure if she had even been to Gotham, much less remembered it, so he said gruffly, "This is Gotham. My City."