Adeya's only a member of one: the Arcanists' Guild. She's been with them for a few years now, and in fact her main reason for traveling to Limsa in the first place was to learn arcanima.
I can also see her having a few ties to the Thaumaturges' Guild (common interests and all), but I don't think she'd ever officially join: thaumaturgy isn't really her main focus.
I can also see her having a few ties to the Thaumaturges' Guild (common interests and all), but I don't think she'd ever officially join: thaumaturgy isn't really her main focus.