Heena managed to score a total of 576 after the Precision and Rapid stages at the Olympic Shooting centre, which was nowhere close to earn a berth for the finals.
After finishing a lowly 30th in the Precision stage, Heena started the first series of Rapid with a 97 out of 100 and then fired another 97 in the second series, which lifted her to the 19th position.
In the third series, she faltered big time to fire 96 to take her cumulative score to 290 from the Rapid stage.
Earlier in the day, Heena never really looked in the hunt as she started the first series of Precision stage with 95 cumulative points before dropping to 17th position with 95 points in the second series.
Starting the third series at 17th place she failed to produce a spirited performance and managed to score 96 to further dip to the 30th spot with a total score of 286.
The combined score of 576 in the qualification round was not enough for the Ludhiana shooter, who managed to hit overall 16 10s.
China's Zhang Jingjing topped the qualifications with a cumulative score of 592 followed by Greece's Anna Korakaki with 584 and Georgia's Nino Salukvadze with 584.
Earlier, on Sunday Heena missed out of the race to the women's 10 metres Air Pistol finals event after finishing 14th in the qualifications.
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