Immediately, Diana felt poorly at the obvious discomfort she'd caused in this new, somewhat younger Kara. As disorienting as it was to find oneself in a new places without familiar faces, it had to be equally disconcerting to have strangers 'recognize' you. Being careful to not say anything to inflammatory, Diana smiled a bit more natural now, and said, "If it amuses you to know, we were both superheroes in my version of the world. I even trained you some."
There was a lot Diana needed to know, to proceed in finding the answer to what exactly happened here, but she had to tread lightly. What if this Kara had no powers at all? Diana didn't wish to up and reveal herself that easily. "Before we get into that, though, can you tell me what other stranger apparently knew you? Perhaps they are also from...well, my reality, I guess is the way to phrase it."