She played a clean and steady round with one birdie on the par-three 12th, but dropped shots on the seventh and the closing hole.
Rhea started well with birdies on the first and third, but dropped shots on the fourth, ninth, 10th, 13th and 17th.
The two leading professionals were Amandeep Drall and Afshan Fatima, tied at 75. They were followed by Siddhi Kapoor, Tvesa Malik and Gursimar Badwal, who shot 76 each. Gaurika Bishnoi carded 78.
Amandeep Drall had four birdies, but she also had seven bogeys on a highly eventful day.
Gaurika Bishnoi (78) and Neha Tripathi (80) were among the top stars who had a poor day.
In the second round, Mehar Atwal and Millie Saroha will go out in the first twosome, followed by Khushi Khanijau and Neha Tripathi in the second two-ball.
The third group has amateur Khushi Hooda, Suchitra Ramesh and Anisha Padukone, while the fourth group will see Ayesha Kapur, Gaurika Bishnoi and Gursimar Badwal.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)