It happened during a weekly meeting of the Southeast Broward Republican Club held at a gun range.
Members used assault rifles to shoot at targets including a cut-out of a man in a headdress holding a rocket-propelled grenade launcher.
Robert Lowry, a Republican vying to replace Democratic U.S. Rep. Debbie Wasserman Schultz, fired at a full-body silhouette with her initials written next to its head.
Wasserman Schultz, who made headlines earlier this year when she announced she had secretly been battling breast cancer, declined comment.
Lowry first told the Sun-Sentinel it was a joke, then that it was a mistake.