Muse began his youth career with Derby City Rovers before joining the Seattle Sounders FC Academy in 2015 while attending Roosevelt High School.
[9] On December 29, 2022, Muse joined USL Championship side Charleston Battery for their 2023 season, reuniting head coach Ben Pirmann.
The shot-stopper notched a new career-high with 12 clean sheets in the regular season, a mark that also ranked tied for most in the league.
He ended the year with 13 clean sheets, adding to his career-high with one shutout in the playoffs, and helped the Battery reach the USL Championship Final.
[citation needed] After Muse's contract option was exercised by the Battery in December 2023, he was transferred from Charleston to the Portland Timbers of Major League Soccer on January 5, 2024.