He competed for the United Kingdom (as Great Britain) at the 2004 Summer Olympics in men's individual archery.

Godfrey then competed against Tim Cuddihy of Australia in the bronze medal match, losing 113–112 to take 4th place overall.

He defeated Emdadul Haque Milon from Bangladesh in the 1/32 elimination round, winning 6-0 (scoring 84 out of a possible 90 points).

[3] The 1/8 elimination round against Malaysian Khairul Anuar Mohamad was tied at 5–5 at the end of the 5th and final set.

Mohamad won the one arrow shoot off and progressed to the quarterfinals, only to be defeated by Takaharu Furukawa from Japan who went on to win the silver medal.