Bai Rouyun and Little Chu sensed the hostility which was aimed at her, but when they noticed who it was, neither of them took action.
While they knew that the Crown Prince hated both her and Li Moyun, they had no interest in taking him seriously. He was not capable of causing any real problems, and they still had to consider the blood relationship between the princes.
Bai Rouyun was aware that the Crown Prince disliked her. She was not pleasing to his eye, but the main reason for his dislike was Li Moyun.
The Crown Prince hated Li Moyun. Although he had been given the title of the Crown Prince, he was painfully aware that Li Moyun was better than him at everything.
If it were not because of his mother, who was the empress, then the Crown Prince title would not have been his, and he lived in constant fear that Li Moyun would some day take over his position.