From 1924 to 1925, Davidson served as an assistant minister at St George's, Edinburgh, as part of his training for ordination.[1] In May 1925, he was ordained in the United Free Church of Scotland and called to be the minister of St Mary's Church, Old Aberdeen.[3][4][5] It was during his time at St Mary's, in 1929, that the United Free Church of Scotland was incorporated into the Church of Scotland, and he therefore became of minister of the latter.[4][6] In March 1932, he moved to Dundee where he had been elected the minister of St Enoch's Church; he had been the only nominee.[3] He only spent two years in Dundee before moving on.[1]
Davidson's engagement to his future wife was announced in the newspapers on 23 November 1943.[14] On 19 January 1944, he married Margaret Helen de Carteret "Peggy" Martin (1918-1991) during a service at Glasgow Cathedral.[15][13]
Davidson was the recipient of the 1961 St Mungo Prize, awarded to the individual who has done most in the previous three years to improve and promote the city of Glasgow.[20]