The English version of Encyclopædia Eorzea justifies Krile's unusual name by explaining that it's a Hyuran spelling of her forename, despite being a Plainsfolk. This has interesting implications, but doesn't seem to be brought up anywhere in the game itself; though it is not being contradicted either, so you will have for yourself whether to rely on it. (Out-of-universe, of course, the reason being that her name and appearance are a reference to Final Fantasy V.)