1 Peter 2:9-10 speaks to the idea of the priesthood of all believers, saying, “But you are a chosen generation, a royal priesthood, a holy nation, His own special people, that you may proclaim the praises of Him who called you out of darkness into His marvelous light; who once were not a people but are now the people of God, who had not obtained mercy but now have obtained mercy.” In addition to the collective priestly authority of elders in general and of Presbyters of the Church in particular, there is the general priestly authority of individuals.
Also see “Governing Roles of Men and Women in Basileia.