If she's short on time, what should she definitely do quickly? Regardless of whether Crin and Ishaza are trustworthy?
Learn magic. Learn more about the world. Those are the things that gives her the the most additional options, and the most sense of what those options are. Lies about the state of the world will likely be easier to slip by her than ones about magic, given her increased learning speed. But any errors that were slipped by her would be more likely to cause major problems- for someone who didn't have her categorical immunity to most of the negative effects of miscasting. Yeah, magic seems- the best thing to go after learning quickly.
"So. One of my secrets. I learn quickly. Far faster than reasonable, if not faster than would be possible for a once-in-a-millennia talent. I say this now because I couldn't possibly hide it from you if you taught me any substantial amount of magic, and I suddenly feel an urgent drive to learn."