Help me

Help me to find a manhwa where the MC transmigrated into a book. She looks like 12 years old with red eyes and short hair. The king has long hair. For no reason when the king touched her he felt coolness. In the book sje read she was supposed to die bcos she helped the saintess escape. But now the king favoured her. She has fast healing capabilities. The dule ( king brother ) likes her, but he was sent away. Dike saw her naked ( while taking a bath) and caused her to hit her head and daint. Thx