Hurley was ordained as a priest in Rome on 9 July 1939 and was awarded his license in Theology in 1940. Later he was appointed curate at Emmanuel Cathedral, Durban, where he stayed until 1943 when he was appointed Superior at Saint Joseph's Scholasticate, then based in Prestbury, Pietermaritzburg. He stayed in this position until 12 December 1946 when, aged 31, was named Vicar Apostolic of Natal and Bishop of Durban. He was the youngest Roman Catholic bishop in the world at that time.