please go over exigence and where you put the audiences purpose
Exigence is whatever prompted the speaker to create this piece of rhetoric (speech, letter, essay, etc.). I always compare exigence to a piece of food stuck in my throat. It’s irritating, and I will do whatever it takes to get it out. Exigence is irritating (or encouraging) enough to the speaker that he/she has to write about it (think: Britain taxing the Indian people for an essential resource like salt was the last straw for Gandhi to speak up to Lord Irwin and threaten to protest).
The audience’s purpose? I think you mean the speaker’s purpose (and how that purpose relates to the audience). You should be connecting to the speaker’s purpose as much as possible throughout the essay: in the thesis, in every topic sentence of a body paragraph, and every time you analyze a choice the author makes. The purpose is the most important part of your analysis.