She has previously played for the Boston Breakers in the NWSL, Sparta Prague in the Czech Republic, and Atlético Madrid in Spain.

As a rookie she played in all 22 games including five starts as BU won both the America East regular season and tournament.

[7] Strom did not make any appearances in the 2017 season before being released on June 30, 2017, in order to clear a roster spot for Katie Stengel.

[8] In August 2017, Kylie signed a professional contract with Czech Women's First League team Sparta Prague.

Sparta also won their ninth Czech Women's Cup, beating Slovácko 3–1 in the final in which Strom was named Most Valuable Player.

[18] In August 2019, Strom was bought from Sparta Prague by Spanish Primera División side Atlético Madrid for an undisclosed fee.

[24] As vice captain of the Pride, Strom made 25 appearances (24 starts) in the 2024 regular season as the team claimed the NWSL Shield with the best record in the league.

[27][28] Strom played every minute of the playoffs as the Pride won their first NWSL Championship with a 1–0 victory over the Washington Spirit.