[3] Shutt played junior ice hockey with the North York Rangers, before attending Bowling Green State University for four years.
Drafted in 1975 by teams in the NHL and WHA, Shutt decided instead to remain at Bowling Green.
In 1978, Shutt signed as a free agent with the Cincinnati Stingers, playing one season with the team and its affiliate Springfield Indians of the American Hockey League.
In 1980, Shutt joined the Flint Generals of the International Hockey League (IHL), where he racked up 235 penalty minutes.
Shutt played one more season of professional hockey in 1982–83 with the Saginaw Gears of the IHL before retiring.