He was selected by the Flames in the second round, 57th overall, at the 2011 National Hockey League Entry Draft. Junior
A native of Surrey, British Columbia, Wotherspoon was selected by the Portland Winter Hawks in the second round of the 2008 Western Hockey League (WHL) Bantam Draft. He made his WHL debut as a 15-year-old in 2008-2009, appearing in four games for Portland, then played four full seasons between 2009 and 2013.
In his WHL career, he has appeared in 239 games in his WHL career and scored 17 goals along with 65 assists.
With the Winterhawks, he appeared in the WHL championship series in three consecutive years as Portland lost the final in 2011 and 2012 to the Kootenay Ice and Edmonton Oil Kings, respectively, before finally winning the Editor Chynoweth Cup championship in 2013 by defeating Edmonton. Wotherspoon was also named to the WHL"s Western Conference second All-Star Team in 2012-2013.
The Calgary Flames had selected Wotherspoon with their second round pick, 57th overall, at the 2011 National Hockey League (National Hockey League) Entry Draft. Flames Special Assistant to the General Manager Craig Conroy described Wotherspoon as a player whose qualities often go unnoticed: "If you"re a stay-at-home defenceman that can join the rush, make the good first pass, doesn"t get beat one-on-one, very sound, it doesn’t stand out." Upon turning professional, Wotherspoon was assigned to Calgary"s American Hockey League (AHL) affiliate, the Abbotsford Heat, for the 2013-2014 season.
He had nine points in his first 48 games and a plus-minus of +13 when an injury to Dennis Wideman late in the season caused the Flames to recall Wotherspoon on an emergency basis.
He made his National Hockey League debut on March 7, 2013, a 4–3 victory over the New York Islanders. He recorded his first point the following night with an assist on a Brian McGrattan goal in a contest against the Vancouver Canucks. Wotherspoon appeared in 14 games with the Flames, recording four assists, before suffering a shoulder injury that required surgery and ended his season.
Wotherspoon has been recalled and sent down by the Flames multiple times during the 2015-2016 season.