Eminent vs. Immanent vs. Imminent

An eminent person is “outstanding, prominent, well known, well respected”—usually for great accomplishments and/or scholarly attainments:

eminent physician
eminent professor
eminent domain (a law term)

Something imminent is “about to happen”:

imminent arrival of the guests
imminent danger

You’re not likely to see the rarely used homophone immanent on standardized tests (or anywhere else, for that matter), but be aware that it means “inherent; present within a particular domain.” It often appears in religious contexts, for example, to denote the pervasive presence of God in the world (as opposed to being separate from and above the world).

holiness immanent in nature