As Jin continued his eternal struggle against the ghosts of his own, Lynn decided to pick up what Jin had left her. She initially wanted to have a nice little supper, tease Jin for not accepting her and go to sleep.
Plain as that.
Little did she know just a simple supper and some additional teasing caused the entire situation to escalate so quickly into a relationship. Even she felt that this was a dream and believed falling asleep instantly might possibly cause it to disappear. Neither did she want to pinch herself to know it was true. That gentle hug at the end of the conversation was sweet of Jin, warming her weary heart now that she knows he was finally hers.
