With the St. Mary's Huskies women's ice hockey program, Cheverie was an Academic All-Canadian, team captain and multiple conference nominee for the Marion Hillard Award.

[3] A charter member of the Toronto Furies, Cheverie spent six years with the franchise, starting in their inaugural season of 2010-11.

Cheverie would finish the 2015–16 season leading the Furies in game-winning goals while ranking second to Spooner in team scoring, respectively.

During January 2009, Cheverie was named to the team that competed at the International University Sports Federation (FISU) Winter Universiade in Harbin, China.

During the second period, Cheverie scored a power play goal as Annalisa Mazzarello and Nicole Corriero earned the assists.

[10] On June 27, Cheverie registered her only multi-point game at the event, logging a goal and an assist in a 3–1 victory against Great Britain.

Cheverie joined the Scarborough Sharks Midget AA girls team during the 2015–16 season as an assistant coach.

On January 18, 2021, Hockey Canada announced that Cheverie had been named to the coaching staff of the Canadian national women's team.