Don't think so - rune beetles never become Dryads and they are always at it.
It's been there for a quite a few days now. There was originally two but the second one is gone. I assumed a tamer "lost" them but was intrigued when I found that although it targetted me and attacked I could not attack it.
It's probably "Blue" and has sucumbed to some bug. I don't know why it doesn't time out though.