Sudakova started playing handball at her school in
Volgograd. Her first professional club was
Rostov-Don, where she first played for the 2nd team and later joined the first team. With Rostov she won the 2007, 2008, 2012 and 2015 Russian championship and the 2015 Russian cup. In the 2016-17 season she played for
HC Kuban Krasnodar. She then returned to Rostov-Don.. Back at Rostov-Don she won the 2018, 2019 and 2020 Russian championship. In 2020 she joined
CSKA Moscow. Here she won the 2021 Russian championship and the 2022 Russian cup. In the 2022-23 season she joined Romanian side
CSM București, where she played for a single season and won both the Romanian championship and cup. She then returned to Russia and joined
Dinamo Volgograd. After the 2023-24 season she retired. ==National team==