In 1954 Shevtsova finished second in the 800 m at the national and third at European Championships. At the 1962 European Championships she failed to reach the final. During her career she won nine national titles: in the 400 m in 1955; in the 800 m in 1955–56, 1959, and 1961–62; and in the cross-country in 1960–62 and 1964.