Bordson signed a two-year entry level contract with the Anaheim Ducks on March 23, 2010 after playing three seasons of collegiate hockey with the University of Minnesota Duluth. Shortly into his first professional season, Bordson was traded to the Philadelphia Flyers with Danny Syvret for David Laliberte and Patrick Maroon. Bordson was part of the blockbuster trade that sent Mike Richards to the Los Angeles Kings for Wayne Simmonds, Brayden Schenn, and a 2012 2nd round pick on June 23, 2011 He was not tendered a qualifying offer by the Kings, making him an unrestricted free agent. On September 15, 2011, Bordson was signed by the Trenton Titans of the ECHL. During the 2011–12 season, on December 9, 2011, Bordson was signed by the Rochester Americans of the AHL to a professional try out. He was returned to the Titans before he was signed by former team the Adirondack Phantoms on February 21, 2012, for the remainder of the season. On August 12, 2014, Bordson signed a contract with the Chicago Wolves. On September 14, 2015, Bordson signed as a free agent, returning to the ECHL for the first time since 2011, in agreeing to a deal with the Adirondack Thunder for their inaugural season. He was elected captain to start the 2015–16 season, and was named the player of the month for October in leading the ECHL in all offensive categories. With 13 points in 7 games Bordson returned to the AHL on November 6, 2015, signing a one-year contract with the Providence Bruins. At the conclusion of the 2015–16 season, Bordson elected to embark on a European career, agreeing to a one-year contract as a free agent with new German DEL entrant the Fischtown Pinguins on July 14, 2016. Bordson endured a successful start to his European adventure, contributing with 30 assists and 38 points in 45 games during the 2016–17 season. Opting to leave Fischtown at the conclusion of his contract, Bordson continued in the DEL, agreeing to a one-year deal with Düsseldorfer EG on August 31, 2017. In the 2017–18 season, Bordson was unable to replicate his scoring rate with DEG, recording just 3 goals in 31 games as the club missed the playoffs. His contract was not renewed at the conclusion of the season. On July 26, 2018, Bordson signed a one-year contract in the neighbouring Austrian Hockey League, with the Dornbirn Bulldogs. Prior to the 2018–19 campaign, Bordson suffered a season ending knee injury in the pre-season with the Bulldogs, cutting short his tenure with the club without making his debut. After a full year of rehabilitation, Bordson resumed his professional career in agreeing to a one-year contract with Swedish club, Västerviks IK of the Allsvenskan on July 11, 2019.
