Shaking hands with Oliver's hand is easy enough. Taking a glass of water is, for the moment, not going to happen. The tremble of her fingers is largely under control with her daughter still in sight, but it's not invisible as she moves to start sorting through her purse for papers. "In-- private would be better."

And clearly isn't wholly unanticipated by the girl. Besides, most of Eliana's attention is distracted by carefully watching the little dog who's taken a clear interest in her. It isn't so much a matter of fear as an obvious case of uncertainty.