April 14 is another pretty short day. Once you get to school, you and Ryuji will be confronted by a cat. A cat who just happens to be able to talk. Yes, Morgana has made his way to the real world to inform you about how to solve your problems. Talk to him and Ryuji for a while before it is time to head home again. No warps back to the Cafe today. You have to take the train like everyone else.
Go to the train station by Shujin. (You can get to it by just turning right off of the school stairs.) Ride the big yellow train back to your transfer point. When you get off the train, head down the stairs and run into Ann. After eavesdropping on her, she will run from you. Follow her down the stairs to the right, down the stairs to the left, and then find her standing by a green pillar.
Be nice and sympathetic toward her, and listen to all of her problems. You will get some more anime here, and the stakes will be raised in the story. Once you have made Ann feel a little better, it is time to go back home and go to sleep again.