Rubuta ci gaba don wannan sakin layi - Rubtsova ta lashe gasar zakarun Soviet ta mata sau hudu (1927, 1931, 1937 da 1948). Ta kasance ta biyu a Gasar Cin Kofin Duniya ta Mata 1949<unk>50
, maki daya a bayan Lyudmila Rudenko. Ta lashe taken a 1956, ta gama gaban Rudenko da Elisaveta Bykova a gasar. Rubtsova ya rasa shi ga Bykova a cikin wasa a 1958.