What we see: "Hey, the sylphs are trying to summoning a primal. Go stop them."

What we don't see: Minfilia meeting with leaders and diplomats, dispatching scouts, reading and writing reports, and the million other background things that lead to getting that information in the first place. We only get called in after all the office work is done and it's time to fight something. Minfilia is very good at her job, we just don't see it because most of her job is really boring to watch.