Diana studied this Bruce for several moments and his offer of repeating what he had said while under the lasso's influence. "I shall take your word for it." Not like she couldn't take care of herself should the situation call for it.
She took his hand and gave it a warm squeeze, relaying the fact that she was friendly with her world's Bruce. "Cardinal Earth. It has a certain ring to it," she returned, smiling a bit. She eventually let her hand fall away and nodded. "As this is your world I shall follow your lead." She was just glad she had run into a familiar person. There was a risk of course that she could have ran into Luthor or someone else with ill intent.