King Edward VIII did not marry until after he gave up his job.
St Edward the Confessor was married for 35 years but died a virgin because of his religious beliefs (?), so it could be argued that his marriage was invalid (by today's standards at least)
As Athelstan ruled Wessex and Mercia and not all of England can he be classed as a full English King, and as Edward VIII eventually married even though he abdicated he still had a wife, Edward V never had a coronation, so the answer must be Edward VI.