Final answer:
Sophie thought her dad didn't love her because his actions seemed insincere and he had committed a childish indiscretion.
Step-by-step explanation:
Sophie thought her dad didn't love her because he had committed a childish indiscretion that made her doubt his love. In the given text, Sophie says that she believes her dad had merely shown off and that she would forgive him. This indicates that Sophie thinks her dad's actions were not genuine and that he may not truly love her.