Sheveleva began skating in 2000. She is coached by Marina Kudriavtseva. Sheveleva debuted on the International Skating Union Junior Grand Prix series during the 2009-2010 season, placing 6th in the United States and 5th in Croatia.
She placed 13th in the short program at the 2011 Russian senior nationals and 5th in the long program, to finish 8th overall.
She is the 2011 Russian Cup Final champion and 2011 Russian junior bronze medalist. During the 2010-2011 Junior Grand Prix season, Sheveleva won a bronze medal in France and finished 6th in Romania. She won the junior bronze medal after placing third in the short and second in the lougitude She won the 2011 Russian Cup Final, defeating Ksenia Makarova and Alena Leonova.
