This time it's Ilda who hesitates, because she doesn't really believe him. And it makes her feel kind of bad. She isn't really leading him on, is she? She's still helping him, just like how she's helping Yato, even if she's not completely into the point of her friends' endeavors.

"Of course! What are friends for, right?" She grins, hiding her conflicted thoughts. "Come on, we better get started."