His words had her turning to face him fully and study him carefully. He had been very quiet in approaching her but he looked nothing like the Bruce Wayne she knew. Her head tilted slightly. "Am I to presume you are Bruce Wayne?"
He hadn't admitted to being the Batman. But his words of talking now clearly stated to her that he was the Batman. But given they were out in public, she doubted he would say the words that he was the Batman.
Might as well be friendly though. "I am Diana of Themyscira." She extended her hand, a warm smile on her face.