He simply nodded in answer to her question. Bruce assumed the head tilt was due to the fact his appearance may not be what she was accustom to. Not that he was surprised, some things just didn't translate over the multiple earths.
"If you need me to hold your lasso to prove I am telling the truth about being Bruce Wayne, then so be it." He offered, holding his hand out to take the lasso of truth if she needed to use that as reassurance.
The corners of his own lips turned upward in a smile at seeing friendliness radiate from Diana. "Pleasure, Diana. Welcome to Cardinal Earth." Bruce took her hand in an almost business like hand shake, although it lingered a little longer, indicating familiarity and friendship. "You are correct in saying that I wish to speak but probably not wise to do so in such a public setting."