The earlier start has been agreed to enable the Jersey-based side time to board a return flight back to the Channel Island on the day, should the tie at Homelands go to extra time and penalties.
St Peter made it through to the semi-finals of the competition last season, bowing out by the odd goal in five to Beckenham Town - while domestically, were runners-up in the Jersey Premiership.
There's a home fixture against Rochester United in store for the winners in the first round proper, on October 19.
KENT SENIOR TROPHY - DRAW IN FULL (click to view)