Final answer:
The word Hester uses interchangeably with luck is not provided in the question's context, but commonly used synonyms could include fate, chance, or destiny. How these differ from luck typically relates to the perceived control over events, with luck being random and fate being predetermined.
Step-by-step explanation:
The word Hester uses interchangeably with luck is not provided in the question's context. However, it's typical in literature for characters to use synonyms of luck such as fate, chance, or destiny, depending on the author's style and the period in which the work is set. The difference between these terms typically lies in the implied control or lack of control over the outcomes of events. Luck often conveys a sense of random chance, while fate implies a predetermined path that is beyond an individual's control.
The excerpt provided appears to be from a narrative where the character Jane confronts a woman named Hester who has been spying on her. The passage does not specify the word used by Hester that could be interchangeable with luck. Instead, the paragraph focuses on intrigue and betrayal within a certain setting. If Hester has been using a word interchangeably with luck, context from the larger work would be necessary to understand her choice of vocabulary and the significance within the narrative.