Born in Ehenbichl, Tyrol, she won her first World Cup competition, giant slalom, in Sölden, Tyrol, Austria on 26 October 2002, sharing the victory with Andrine Flemmen and Tina Maze. Hosp won the overall World Cup title in 2007 and the season title in giant slalom. A versatile all-around racer, she won World Cup races in four of the five alpine skiing disciplines (super-G, giant slalom, slalom and combined), and was world champion in the giant slalom in 2007. Although Hosp won the giant slalom crystal globe in 2007, she stopped racing GS after often not qualifying for the second run in 2011. In her final seasons, she competed in four disciplines: slalom, super G, downhill, and combined.