During her junior years, Genuin was more successful on the longer distances. At the Junior World Championships in 1998 in Saalfelden and 1999 in Pontresina , she came 13th over a distance of 15 kilometers. However, while she came only in the lower midfield in her first World Cup competition in 2000 over 5 kilometers in Bormio , she achieved a respectable success in her second outing a year later in the sprint in Asiago with 17th place. In the following years, Genuin developed more and more into a sprint specialist. In the 2001/02 season she sprinted her first top ten result in Val di Fiemme with seventh place. So it was no surprise that the young athlete was nominated for the 2002 Olympic Games in Salt Lake City . There, too, she achieved a respectable result with 22nd place. Genuin was able to improve this result by five places at the 2003 Nordic World Ski Championships in its own country. While in the 2003/04 season she was able to continuously score World Cup points in sprint competitions and even placed in the top thirty in distance races, she mostly failed in the 2004/05 season in qualifying for the finals. This meant that she was not nominated for the Nordic World Ski Championships 2005 in Oberstdorf .
But already in the following season her performances stabilized again, so that she could take part in the 2006 Olympic Games in her home town Pragelato . In the sprint competition she took 19th place there. At the Nordic World Ski Championships 2007 in Sapporo , Japan , Genuin again reached the finals in the sprint competition and took 28th place in the final ranking. Surprisingly, the sprint specialist achieved her best result at a major international event in her work over the 10 kilometer freestyle distance with 12th place. The 2007/08 season became Genuin's best World Cup season to date. While she just missed a podium with fourth place in the sprint in Rybinsk , she managed to sprint third in Canmore . She finished the 2007/08 Tour de Ski in 30th place overall. At the end of the season, she finished 14th in the overall sprint competition. In the overall World Cup she was 29th. The following season she came in the Tour de Ski 2008/09 on the 29th place. At the following World Cup in Vancouver , she and Arianna Follis won her first World Cup victory in a team sprint. Two third places followed in Rybinsk and Valdidentro . At the Nordic World Ski Championships in Liberec in 2009 , she finished 13th in the sprint. She finished the season in 21st place in the overall World Cup and seventh place in the Sprint World Cup. At the beginning of the 2009/10 season she won the team sprint in Düsseldorf together with Arianna Follis. In the further course of the season she finished 23rd in the Tour de Ski 2009/10 and second in the sprint in Rybinsk. At the 2010 Olympic Games in Vancouver, she was fifth in the sprint and fourth in the team sprint. At the end of the season she reached ninth place in the Sprint World Cup. At the beginning of the following season she came in third place with the relay in Gällivare . She finished the Nordic Opening in 20th place. In the further course of the season she won in Düsseldorf together with Arianna Follis in the team sprint and in Rybinsk with the relay. At the team sprint in Liberec, she and Marianna Longa took second place. At the Nordic World Ski Championships in Oslo in 2011 , she finished 17th in the sprint. After the season, which she finished in 11th place in the Sprint World Cup, she ended her career.