Vicar general
Nykke was the son of Thomas and Johanna (née Stillington) Nykke; Johanna was the sister of Robert Stillington, Bishop of Bath and Wells. He was educated at Trinity College, Cambridge. He became Rector of Ashbury in 1473; Rector of Cadbury and Prebendary of Wells in 1489; Archdeacon of Exeter in 1492; Vicar general of Bath and Wells in 1493; Prebendary of Southwell in 1493; Archdeacon of Wells in 1494; Prebendary of York in 1494; Vicar general of Durham and Rector of Bishopswearmouth in 1495; Canon of Windsor in 1497; and Dean of the Chapel Royal and Rector of High Ham in 1499.