What is the main conflict in Philip Hall Likes Me, I Reckon Maybe by Bette Greene?

Philip Hall Likes Me, I Reckon Maybe, tells the story of eleven-year-old Beth Lambert who is a bright and capable girl and has a giant crush on Philip Hall, "the cutest boy in school". Beth's mother realizes that her young daughter is very bright and has a lot of promise and warns her against filling her head up with thoughts of Philip instead of concentrating on school work. Beth is thrilled that Philip strums his guitar for her when she comes over to his family's dairy farm every evening after school to do his chores. Beth often wonders to herself if she is number two to Philip's number one at school because she holds back due to her feelings for him. By the end of the story, she knows the answer to that question.