Final answer:
Hester succeeds in her mission by acting her part and catches Mistress Hibbins eavesdropping, relating to their conversation.
Step-by-step explanation:
Hester succeeds in her mission by acting her little part, pretending to be friendly with Fay and talking about her stock records book. She then catches Mistress Hibbins eavesdropping and confronts her, telling her to leave and not come back. This relates to Hester's conversation with Mistress Hibbins as it shows that Hester is aware of people who are spying on her and is willing to take action against them.