Well, you can probably tell from the screenshot above, but this NM is a BRD. I've seen her cast Foe Requiem VI, Horde Lullaby, and Maiden's Virelai (charmed me and I killed a taru).
Outside of that, she uses the typical Lamia-NM type TP attacks, but she seems to have a definite preference towards Rising Swell, which is an AoE attack that un-equips ALL of your equipment. If you plan on fighting her, its probably best to make equip-macros. At times, she seems to spam it, so you'll spend all of your time equipping your stuff and have no time left for, you know, fighting.