[3][4] She won a silver medal in the rifle three positions at the 2002 ISSF World Shooting Championships in Lahti, Finland, accumulating a score of 674.1 points.

[1][5] At the 2004 Summer Olympics in Athens, Kalnysh finished fourteenth in the preliminary rounds of the women's 10 m air rifle, with a total score of 394 points, tying her position with five other shooters including United States' Hattie Johnson, and Poland's Agnieszka Staroń.

She also accumulated a score of 677.2 targets (579 in the preliminary rounds and 98.2 in the final) in her second event, 50 m rifle 3 positions, by four tenths of a point (0.4) behind Germany's Barbara Lechner, finishing only in eighth place.

[6] Eight years after competing in her first Olympics, Kalnysh qualified for her third Ukrainian team, as a 34-year-old, at the 2008 Summer Olympics in Beijing, by finishing second in the rifle three positions (STR3X20) from the 2006 ISSF World Cup series in Milan, Italy.

[7] Nearly a week later, Kalnysh competed for her second event, 50 m rifle 3 positions, where she was able to shoot 194 targets in a prone position, 185 in standing, and 192 in kneeling, for a total score of 571 points, finishing only in thirty-first place.