It's both amusing and awkward. Bruce is staring at Bat//man who isn't exactly him, but a different person from the future, you. Seeing a Bat//man from the future only means that Gotham is still a chaos that needs saving. Makes him question everything he's been doing. Makes him feel bad and weak. "A whole different person or someone related to me?" Bruce asks as he folds his arms. He probably should start on sending you back to your own timeline but he can't help but ask.