Until 2013, Baudin mainly took part in the junior competitions of the Alpine Cup. She won the U20 overall ranking in the 2012/13 season . In the 2013/14 season she competed in the Alpine Cup, where she won a race and finished the season in first place in the overall standings. She ran her first World Cup race in March 2014 in Lahti , which she finished with 39th place in the sprint. At the Tour de Ski 2015 she reached 33rd place overall. With the 27th place in the 10 km mass start race in Val di Fiemme, she got her first World Cup points. In January 2015 she won gold in the sprint at the U23 World Championships in Almaty . Her best placings at the subsequent Nordic World Ski Championships in 2015 in Falun were 15th place in the sprint and ninth place with the relay. In the 2016/17 season she finished in the top ten nine times in the Alpine Cup, including one place each, one place two and one place three, and thus achieved fourth place in the overall standings.