Nurse won a silver medal with Stoney Creek at the Ontario Women's Hockey Association provincials. She also won a bronze medal in high school at the 2010 OFSSAA championships, and a silver at OFSSAA 2011. In 2010, she played with Team Heaney and reached the quarter-finals of the 2010 Ontario Winter Games. During the 2010–11 PWHL season, she led the Stoney Creek Jr. Sabres in scoring. She was named to the OWHA All-Star Team for a game vs. Team Ontario Under-18. For the 2011–12 PWHL season, she was named an alternate captain with Stoney Creek. She helped the club win a bronze medal at the PWHL championships. She ranked second on the club in Stoney Creek scoring. With the Stoney Creek Jr. Sabres of the PWHL, she broke the league record shared by Kelly Sabatine and Thea Imbrogno for most goals in a season. Breaking the mark in the 2012–13 season, Nurse scored 35 goals, highlighted by a hat trick in the final game of the season.
Wisconsin Badgers
In the championship game of the 2015 WCHA Final Faceoff, Nurse scored twice, including the game-winning goal against Bemidji State. An 8–2 win on December 4, 2016, against the Badgers archrivals, the Minnesota Golden Gophers provided Nurse with a career milestone. Playing in front of a sellout crowd at Labahn Arena, Nurse scored a hat trick, becoming the first player in program history to score a hat trick against Minnesota.
CWHL
After competing at the 2018 Winter Olympics, Nurse was drafted second overall by the Toronto Furies in the 2018 CWHL Draft. On October 17, 2018, a Furies match at MasterCard Centre versus the visiting Shenzhen KRS Rays saw Nurse score the first goal of her CWHL career. Breaking a 1–1 tie on the power play at the 8:54 mark of the third, said goal would also stand as the game-winning tally in a 3–1 final, which provided Shea Tiley with her first-ever goaltending win in league play.
International
Hockey Canada
Nurse was a member of Team Ontario Red that competed at the 2011 and 2012 National Women's Under-18 Championship, winning gold in 2011 and a bronze in 2012. She was a member of the Canadian team that captured gold at the 2013 IIHF Ice Hockey U18 Women's World Championship. At the 2015 Nations Cup, Nurse was a member of Canada's U22/Development Team, winning a gold medal. In a 4–1 win over Finland on January 3, 2015, she contributed two assists. Nurse participated for Team Canada in the 2020 NHL All-Star Elite Women's 3-on-3 competition that was part of the skills competition.
Nurse was selected to compete for Team Canada in the 2018 Winter Olympics in PyeongChang, South Korea. She helped Team Canada take home a silver medal in a shootout against the United States.
Her cousins are professional hockey player Darnell Nurse and basketball player Kia Nurse. Her uncles were also involved in athletics; her uncle Donovan McNabb played pro football in the NFL as a quarterback and her other uncle, Richard Nurse, was a wide receiver for the CFL Hamilton Tiger-Cats.