It seems he's putting it into her hands, letting her pursue him. She admits to herself that he intrigues her, so she can't help but continue.

"I think I would like that. Let's see, what should I ask?" She lets the question hover in the air as she selects a new card and begins rearranging her hand.

"Would you happen to have a sweetheart back home?" May as well get the big question out of the way first, right?