"I'm sure," Terry replied. Had someone asked him what year it was, back in Gotham, Terry would have been equally concerned.
The way Allison introduced herself surprised Terry, and he took a brief moment to study her before responding. She was so forthcoming with information, despite the fact that he was wearing a "costume" and wandering around asking about the year. It wasn't very safe for her to share her personal information, nor did it seem very safe for her to be unconcerned about dangerous people. But, he thought to himself, maybe that was the way people worked in the 1960s. Maybe they walked around without fear and gave away personal information to anyone. In that case, he was not going to fit in very well.
"I'm Batman," Terry said. He figured that she hadn't heard of him, being as displaced as he was, but just because he was in a new time and place did not mean he was going to slacken his discretion. "I'm from the year 2041."