Sidhu shot 574 to finish at the second position.
Surabhi Pathak of Madhya Pradesh shot 579 to lead a group of eight women to the finals, which included big names like Rahi Sarnobat and Annu Raj Singh, besides Heena.
The team gold in the event went to Haryana, represented by Muskan, who also qualified for the individual final in fourth position shooting 573, Gauri Sheoran and Anita Devi, who combined for a score of 1691.
Rahi Sarnobat, Shreya Gawande and Saee Godbole helped Maharashtra secure silver with a combined effort of 1687.