Jack McMillin, scored the Yeomen's lone goal of the game in the 13th minute of play.
Trailing 1-0 in the first half, Shelton got the Terriers on the board in the 25th minute. Freshman Giovanni Meza set the senior up with a short cross, which Shelton buried in the bottom left to knot the score.
Neither side could pull ahead, as the team's went into the locker room knotted at 1-1.
Hiram outshot the Yeomen in the first 45 minutes, holding a 9-5 advantage in the first half.
Nshimyumuremyi scored the winning Terrier goal off a cross from Taje Davis in the 74th minute, sending the ball right past the Yeomen goalkeeper.
The tallies marked the second game this year in which Shelton and Nshimyumuremyi scored in the same contest. The last time was in a 3-2 overtime decision against Wabash.
The Terrier offense outshot the Yeomen 16-10.
The Hiram defense frustrated the Yeomen throughout the evening, allowing just four total shots on goal.
Sophomore goalkeeper CJ Keith did a great job of fending off the Yeomen offense, totaling three saves.
The Terriers next travel to Allegheny College to take on the Gators. The matchup at Frank B. Fuhrer Field is scheduled for 7:00 p.m. on Tuesday, October 10.