Sheath competed for the New Zealand team in the women's team pursuit at the 2016 Summer Olympics in Rio de Janeiro. There, she delivered the quartet of Lauren Ellis, Jaime Nielsen, and Rushlee Buchanan a New Zealand record of 4:17.592 to ensure the team's spot in the medal race, before narrowly losing the face-off to their Canadian rivals (4:18.459) for the bronze by a 3.8-second margin.