Leia herself was many things: princess, politician, rebel leader and tactician, and used to being all those things before being a woman and possibly lover. Instincts began gradually to take over, pushing her shock and dismay to the side. Think. Then plan. React later, when you have the luxury of time. Arguably she had the luxury of time, this wasn't a war zone for all that she suddenly felt under attack, but at least doing things this way would keep her from being panicked.
Oh Luke, I need you. Automatically she reached out with the Force, as he'd taught her over the past months, searching for his presence and finding...nothing. She wanted to curl into a ball and hide.
She didn't. Instead she started walking forward again, slowly, her brow furrowed in concentration. "From our future. Presumably brought here the same way you and I were, by some unknown...event. What can you tell me about that? What does anyone know?"