They're not that powerful. Some Hunters can challenge them as early as Rank 2 but they're tricky so it's safer to wait. So long as an elder doesn't show up.

[An Eldeer Coeurl is more like a rank 8 enemy. And we're not even going to talk about the Galahdian subspecies. Libertus has mentioned those and he's a little bit horrified that something like that exists.]

You say type as though it has more meaning than simply describing the type of magic being used...