From 1997 to 2001, Triebel studied acting at the Ernst Busch Academy of Dramatic Arts.
After cutting ties with the Bremer Theater in 2004, Triebel worked with the Schauspielhaus Zürich (English: The Zürich playhouse) during 2004 and 2005 for a short time, where she acted in Arthur Schnitzler's Das weite Land, a 1911 tragi-comedy about light-bulb Producer Friedrich Hofreiter and his affair with his wife's banker's accountant, Adele. In 2006, she personified "Italy" in the Cologne playhouse's production of "Europa für Anfanger" (English: Europe for beginners).
After a guest role in the TV series Wolffs Revier in 2005, Triebel gained her first major role in a film as the stubborn-minded pig farmer Emma in Emmas Glück. For this role, she received a nomination to the Deutscher Filmpreis (English: the German Film Awards). She was awarded a further nomination to the Deutscher Filmpreis for her performance as a supporting Actress as the mother of the titular pope in Pope Joan. For the main role in Westen, Triebel was awarded for best Actress in the 2013 Montreal World Film Festival.
Triebel's film credits include Ein guter Sommer (English: A Good Summer), Westen (English: West), Lagerfeuer (English: Campfire) and Emmas Glück (English: Emma's Bliss). She has also had a re-occurring role on the television series KDD – Kriminaldauerdienst.
