After graduation Musil taught at Mountain View High School where she taught a full curriculum of dance, including the artistic direction of two dance companies. She later joined the faculty at BYU in 1993. Until 2011, she coordinated the Dance Education major program. Throughout her tenure at BYU she has taught various courses in dance education, dance science and contemporary dance.
Musil is the 1990 recipient of the National Dance Educator of the Year Award from the National Dance Association. In 1992 the Modern Dance Division recognized her with an Outstanding Alumni Award, and in 2000 she received the Distinguished Teaching Award from the College of Health and Human Performance. In 2010 she received the White T & L Fellowship from BYU. She is a member of Phi Kappa Phi.
Musil is a member of the editorial boards for the Journal of Dance Education and Arts Education Policy Review and currently serves as President of the Utah Dance Education Organization. She served six years on the Board of Directors for the National Dance Education Organization, serving first as a Board Member At-Large, and later as Executive Secretary. She also served 5 years as Book Review Editor for the Journal of Dance Education. At BYU she served five years as artistic director of dancEnsemble and currently serves as Contemporary Area Administrator, an assignment she has held since 2008.
In 2011, Musil headed the Heloise Crista Project, funded by grants from the Laycock Center for Creative Collaboration in the Arts, the Mary Lou Fulton Endowment, and the John G. and Thelma R. Hamilton Foundation. Crista, a former dancer who began sculpting in mid-life, creates sculptures that capture a sense of motion, counter balance, and balance. Her works are deeply spiritual, with recurring themes of womanhood, family, and existentialism. These themes inspired Musil to produce an evening-length dance concert based on Crista’s works. As part of this process, a nucleus of dancers and film crew traveled to Scottsdale, Arizona to see and interact with Heloise's work, interview her about her sculptures, and begin developing ideas for choreography. This nucleus expanded to involve over sixty-five collaborators, including student choreographers and composers, faculty choreographers and composers, lighting and set designers, student cinematographers, dancers, and more. The entire process was documented with extensive filming, which produced two short documentaries aired on BYUtv, and a third that was shown at the National Dance Education Organization Conference in October 2012 as well as local film festivals. The project culminated with a themed dance concert, entitled Transformations, presented at four sold-out performances. Heloise Crista, then in her mid eighties, came from Arizona to attend one performance. Besides acting as Artistic Director for the project, Musil choreographed Coming to the Wall; Standing at the Threshold as the culminating piece for the concert.
In 2013, Musil and Dance Department Chair Marilyn Berrett directed Buckaroo: Cowboy Poetry in Motion, funded by a grant from the Laycock Center for Creative Collaboration in the Arts. The project brought together student musicians, poets, and choreographers, as well as professional cowboy poets, to produce an evening-length themed dance concert. In addition to artistic direction, Musil choreographed Women of the West and co-choreographed At the Buckaroo Ball with Berrett. The following year, they traveled to the NDEO Conference in November with Paul Bliss (cowboy poet) and student Stefani S. Mortensen to present a session about the collaborative project.
In 2014, Musil completed certification to become a Level I Franklin Method Educator (FME).