Traditional Wicca is a religion without lay members. All Trad Wiccans are a priest or priestess of the Gods. The idea of a priest/priestess as an intermediary between normal people and the God(s) comes more from Christianity. In many ancient religions, a priest or priestess was a person who served the Gods in the God's own house (aka a temple). They maintained the temple and conducted rituals there, but often performed none of the "dealing with/leading" lay members functions associated with Christian clergy.
That's pretty much the British Traditional Wicca situation: we are a group of orders of sworn priests and priestesses. Our oaths require us to serve the gods, not other persons. We help each other out of friendship and fellowship, not as pastors or ministers.