Born in Hobart, Wuetschner first formally played football at age 16 and quickly went on to be a standout performer in the Tasmanian Women's League for Clarence Football Club.[2] From 2011 to 2013, she won both the league's leading goal-kicker award and the league's best and fairest award each year, while her team achieved a rare premiership three-peat.[3]
Wuetschner also proved to be a notable talent across various other sports while growing up, representing her state in hockey at underage level,[4] and winning the best and fairest award in the Cricket Tasmania Premier League women's competition for both the 2010–11 and 2011–12 seasons.[5]
Brisbane slumped to a 2–5 win–loss record in 2019, however Wuetschner still managed eight goals from seven matches—including a three-goal performance in her club's two-point round one victory against Greater Western Sydney—and earned a third All-Australian nomination.[17][18]
Two weeks before the beginning of the 2020 season, Wuetschner was struck by lightning while working as a stevedore at the Port of Brisbane.[19] She avoided serious injury from the traumatic incident, but struggled with her mental health in the subsequent months and considered retiring from football.[20] Having missed the opening month of the 2021 season, Wuetschner re-established herself as a key fixture of Brisbane's line-up as the team went on to win their first premiership. In the 18-point Grand Final victory against Adelaide at Adelaide Oval, she rose to the occasion in typical fashion, kicking two goals off her "beautiful"[21] left foot.[22]
After a five-disposal game against Geelong in round four of 2022 season 6, Wuetschner was omitted from the Brisbane line-up.[23] Later in the season, she announced a decision to take time away from AFLW in order to focus on her mental health. In a club press release, the Brisbane Lions stated they would "continue to provide Jess with our full support".[24] In May 2022, Wuetschner was delisted by Brisbane.[25] The following month, she was signed by expansion club Essendon as a delisted free agent.[26]
After 38 games with Brisbane and 17 with Essendon, she retired at the end of the 2023 season.[27]