The noun “Eremite” is a Christian term for a hermit or recluse. Eremites live away from humanity because they believe a secluded prayer-focused life will bring about clarity that frees them from the sins of humanity. Here, the speaker compares the star’s “sleepless,” ever-open eyes to those of an Eremite. This metaphor further emphasizes the isolation and estrangement from humanity of the star.