Pilgrim is a youth product of her local club
FC Muri. She was not allowed to play football as a youngster, and so secretly started playing with Muri until a coach intervened and convinced her family. She played with the boys until the maximum allowable age, as the club did not have a women's section. In 2017, she began her senior career with
Aarau in the Ligue Nationale B at the age of 15. In 2020 at the age of 17, she moved to
Basel on a 2-year contract. On 10 October 2022, Pilgrim moved to
Zürich, where she played in the
UEFA Women's Champions League for the first time. She helped Zürich win the
2022–23 Swiss Women's Super League, scoring in the final - a 3–0 win over
Servette FC Chênois Féminin on 2 June 2023. On 26 January 2024,
AS Roma announced the signing of Pilgrim. ==International career==