In the story, The Scarlet letter, Roger Chillingworth wanted to know the identity of the father of Hester's child so that he could be put to death and pay for his committed crimes. Thus, option D is correct.
In the Scarlet Letter, Hester the protagonist lived with her husband Roger Chillingworth whose true identity was hidden from the world except for Hester. He came to visit her which made the situation very uncomfortable. He was anxious to know about the father of the baby.
The story showed that the person of the story is not who they really are shown to be and rather is hiding some of the other secrets. He wanted to know about the father so he can revenge on him.
Therefore, Chillingworth wanted to revenge on the father for having an affair with Hester.
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