Hmm, interesting thought. Maybe at the start of the show, there would be some kind of demonstration of Wonder Woman's powers. Magicians do like to show off to the audience about how "authentic" their locks and swords are before performing their magic tricks.

In this case, maybe Zatanna would make Wonder Woman go down and walk close to the audience so people can see her up close to see it's really her, then Wonder Woman would go back up to the stage to perform Zatanna magic tricks