[X] You want to start trying to combat the lies and slander about manakete. This is clearly something she wants to talk about to, and together the two of you should be able to start making a dent in the misinformation. You'll also probably find out more about the rest of the "Revisionists" who can help you teach humans that manakete were not monsters.
[X] You want to focus on one thing at a time. While you'll always take her test and set up your eventual trip to the Marble Hall, you want to know as much as you can. What are the people there like? What sorts of things should you expect and worry about? What is human magic like?