The daughter of a Lawyer and a Biologist, Schmidt became interested in performing at an early age. From 2004 to 2008 she sang in the choir of the Schola de Sion (in Valais, Switzerland), developing her vocal technique and training in classical singing. After a trip to the United States, she moved to Brussels where she studied theatre at the Lassaad International School of Theatre, and gave singing lessons to children at the Théâtre Royal de la Monnaie.
She made her screen debut in 2012, in a short film by Ewa Brykalska entitled Coda. Her performance was praised and she won several prizes in festivals dedicated to short films. Noticed for her talent, she turned to television in 2013 with Toi que j'aimais tant by Mary Higgins Clark, followed by Le premier été of Marion Sarraut, in 2014.
That year, she made her cinema debut in the feature film La Fille sûre by Victor Emmanuel Boinem. She then won the title role of The Student and Mister Henri, in 2015, alongside Claude Brasseur. The film earned her a nomination for the César Award for Most Promising Actress, and won her the Prix Premiers Rendez-vous (Best Newcomer) at the 2016 Cabourg Film Festival. That same year, she portrayed Henrietta of England in the series Versailles (2015-) on Canal+.
In 2016, she starred in the French comedy film Radin! by Fred Cavayé, alongside Dany Boon, Laurence Arné, and Patrick Ridremont.
