Answer:
A star that always remains above your horizon and appears to rotate around the celestial pole.
Explanation:
A) a star that is close to the north celestial pole: a circumpolar star could be close to the north celestial pole, but this answer is omitting the south celestial pole.
B) a star that is close to the south celestial pole: a circumpolar star could be close to the south celestial pole, but this answer is omitting the north celestial pole.
C) a star that always remains above your horizon and appears to rotate around the celestial pole: this is the definition of a circumpolar star.
D) a star that makes a daily circle around the celestial sphere: every star does this.
E) a star that is visible from the Arctic or Antarctic circles : there are many starts visible from there that are not circumpolar.