In 2017, Schmidt attended Indiana University Bloomington to play college soccer. He redshirted his freshman season in 2017 before going on to make 73 appearances for the Hoosiers, scoring three goals and tallying nine assists from the defensive midfield role. He helped Indiana make runs to the College Cup in 2018 and 2020, ending the latter as national runner-up after advancing to the national championship game. He captained the Hoosiers during his senior year.[3]
On February 24, 2022, Schmidt signed with USL Championship club Charleston Battery.[6] He made his professional debut on March 12, appearing as a 70th-minute substitute in a 1–0 victory over FC Tulsa.[7] He left Charleston following the 2023 season.[8]
Schmidt joined Hartford Athletic on December 5, 2023.[9] On August 3, 2024, he joined Spokane Velocity on a short-term loan.[10] He left Hartford following their 2024 season.[11]