Dürr made her World Cup debut in February 2008. She has two World Cup wins; the first was also her first podium, a parallel slalom in 2013. It was a City Event race in Moscow, Russia, on 29 January, where she came as a reserve.[1] Her second win came exactly a decade later in a slalom at Špindlerův Mlýn, Czech Republic, where she edged out runner-up Mikaela Shiffrin. The two had switched positions on the podium in a slalom the previous day. Dürr won the bronze medal in slalom at the 2023 World Championships.[2]