Sivkova discovered fencing at the age of 10 on the advice of a family friend, who knew a fencing coach. She took up the sport at SDUShOR No.7 near the Borisov Ponds in Moscow, where she first practiced foil under the coaching of Lyudmila Vyazovaya. After a year Vyazovaya switched to épée; Sivkova followed the move. She was the only girl at her club, but she found that winning against boys motivated her. After two years of training she began to resent the hard discipline and left for a while; she came back when she realised she needed fencing to let off steam. Sivkova won the 1997 Cadet World Championships at Tenerife. Her silver medal in the 1998 World Youth Games made her realise she could become a champion. She then took a silver medal at the 1999 Junior World Championships at Keszthely and the gold at the 2000 Junior European Championships in Antalya. She joined the senior national team in 2001. Her first competition with Russia was the European Championships in Coblenz, where they took the silver medal. They went on to win the gold medal in the World Championships in Nîmes. She climbed in 2003 her first podium in the Fencing World Cup with a gold medal in Prague and two bronzes in Tauberbischofsheim and Havana. She also reached the quarter-finals in the World Championships in Havana. These results pushed her to 6th place in world rankings. The 2004 Summer Olympics in Athens were her first Olympic experience. In the individual event she was defeated in the first round by reigning Olympic ChampionTímea Nagy. In the team event, Russia overcame South Korea in the quarter-finals, then Canada. Sivkova's poor performance in her semi-final bouts prompted head coach Aleksandr Kislyunin to keep her as reserve in the final against Germany, which she took as a personal blow at the time. Russia eventually defeated Germany 34–28, allowing Sivkova to become Olympic team champion. The two following years were more difficult for Sivkova. As team épée was not included in the programme of the 2008 Summer Olympics, she had to enter the Top 8 to gain qualification, but her World Cup results were not good enough. After teammate Tatiana Logunova obtained her qualification, Sivkova had to get into the European Top 3 to go to Beijing. In the St Petersburg World Cup, the penultimate qualifying tournament, Sivkova was defeated by Romania's Ana Maria Brânză, who won the gold medal and one of the three European Olympic tickets. Coach Aleksandr Kislyunin decided Lyubov Shutovahad better chances of getting qualified and chose not to send Sivkova to the last qualifying tournament in Florina. At the London Olympics, Sivkova defeated Jung Hyo-jung of Korea in the table of 32, but was stopped in the next round by Romania's Anca Măroiu. In the team event, Russia prevailed easily over Ukraine, then met China in the semi-finals. The match was very tight. Sivkova entered the piste on the last relay with China on the lead. She levelled the score, but lost by one touch in overtime and Russia came away with no medal. Deeply upset by these failures, Sivkova took a break and did not go back to training before January 2013.