Believer, n.
1. One who believes; one who is persuaded of the truth or reality of some doctrine, person, or thing.
2. (Theol.)
One who gives credit to the truth of the Scriptures, as a revelation from God; a Christian; -- in a more restricted sense, one who receives Christ as his Savior, and accepts the way of salvation unfolded in the gospel. Thou didst open the Kingdom of Heaven to all believers. Book of Com. Prayer.
3. (Eccl. Hist.)
1 more senses
One who was admitted to all the rights of divine worship and instructed in all the mysteries of the Christian religion, in distinction from a catechumen, or one yet under instruction.
Shades of meaning
Fernald lists believer only as an antonym, under skeptic.
He lists it without comment; the entries above explain its neighbors.