Will had no idea what Snow wanted to talk about now, and with her looking that way, he didn't know how much talking he would be able to do. Well, maybe if he looked away. He might be able to talk, but with her in his room, he doubted that he would be able to concentrate on what he was saying.
Snow followed Will to his room and waited till he invited her in to enter it. She knew how much the privacy of the room on a ship meant. Especially when they were together day and night for months at a time. A little place where you can get away from all the others was almost sacred.
Will went into his room first just to make sure that there was nothing that she would see to give her the wrong impression of him. Once he had checked it out, he said, "Come on in."