 Nyora kupfuurira kweiyi ndima - Rubtsova akakunda Soviet Womens Championship kanokwana kana 1927, 1931, 1937 uye 1948. Akanga ari wechipiri muWomens World Chess Championship 194950, pfungwa iri shure kwaLyudmila Rudenko. Akakunda zita racho muna 1956, achipedza mberi kwaRudenko naElisaveta Bykova mumutambo. Rubtsova akarasikirwa naro kuna Bykova mumutambo muna 1958. 