Manga Like Musume ni Danzai Sareru Akuyaku Koushaku ni Tensei Shitemashita: Akuyaku Move wo Yameta noni Nazeka Musume ga "Koori no Reijou" Kasuru Ken

Mark Stuart had realized something terrifying: he had been reincarnated as the mid-boss in a game! In the original game, he was fated to be condemned by his daughter, Forsina, who was known as the “Ice Maiden.”　Reflecting on his past coldness toward her, he resolves to change his fate by earning her affection. Through his thoughtfulness and his actions as a duke, his daughter begins to regain her love and trust in her father, but he ends up going too far, and her love becomes overwhelmingly heavy, putting him again in danger of getting condemned...!? (Source: Kadokawa, translated)