Murin made her Broadway debut in 2007 in the musical Xanadu. She went on to originate the title role in the musical Lysistrata Jones in 2012. In 2018, she originated the role of Princess Anna in the musical Frozen.
Murin has also appeared in a number of television shows, including Royal Pains, Chicago Med, and New Amsterdam. She has also voiced characters in the animated films Frozen II and Encanto.