He was in love with her.
So when Noah realised what he was feeling towards that, he started maintaining distance from her, knowing it was wrong. She and the world, after all, saw them as siblings. He also would not interfere even when she would be in grave trouble.
When Dove just started her junior high school, a few boys had been bullying her. He was in his first year of senior high school. And had happened to see that. Dove had called for him, but he had just averted his gaze from her and walked away. Noah knew that the more he would be good to her, the more she would she remain close to him, and the more he would be unable to control his feelings. So, if she just started hating him, and staying away from him, then maybe her hatred would stop the highly increasing feelings for her in his heart.