Mudge is a member of the first graduating Master of Fine Arts class from the Trinity Rep Conservatory in Providence, RI, and was a member of the resident acting company at Trinity Repertory Company. Her other regional appearances include performances at the Alabama Shakespeare Festival, the Contemporary American Theatre Festival, Williamstown Theatre Festival, the Bay Street Theatre, Arena Stage, the Geffen in Los Angeles (in "Cat on a Hot Tin Roof" with John Goodman), and the Breadloaf Acting Ensemble. In November and December 2016 she returned to the Geffen in the play Icebergs.