Exeter-born Trevor Atkins made a bright start to his Exeter City career scoring on his first-team debut when aged just sixteen. Soon attracting interest from other clubs he never won a regular place in the side ahead of eventually joining Peterborough United in 1960. Returning to the Exeter area he continued to play and manage in local football. 

Scoring three times in his three-game Football League career for his home town club, Trevor made his first-team debut at Watford on 7 December 1957 aged sixteen. City lost 5-4 and although he was on the score sheet it was to be his only appearance throughout the season.

There was soon speculation about a move away from City with Clive Toye of the Express and Echo reporting that Portsmouth and Worcester City had been in touch about Trevor. Nothing came of either move and he signed a full professional contract in August 1958. Waiting until 21 November 1959 before receiving another first-team opportunity Trevor scored twice in the 2-1 home win over Gateshead. Although he retained his place for the following match at Rochdale, he never appeared in the first-team again and signed for newly-elected Football League Peterborough United in June 1960.

Trevor didn’t play in the Football League for the Posh and, signing for Barnstaple Town in May 1962, later worked for the Royal Mail in Exeter and appeared in Sunday football for the Prince Albert before managing Topsham Town, Clyst Rovers and Crediton United.

Trevor died in Exeter on 19 October 2022 after a fall.