Green, playing her rookie season on the Symetra Tour, has already notched a victory and lies sixth on the money list and is in good position to secure a ticket to the LPGA tour in 2018.
The 20-year-old from Perth was one of only two players to return a bogey free card at the French Lick Resort, her 4-under 68 good enough for a one stroke lead with 36 holes remaining.
The top 10 players on the money list at year’s end graduate to the main Tour and Green, who last week missed just her third cut in 11 starts, knows she needs to maintain form if she is to be part of that group.
“I hit the ball pretty well today,” Green told the Tour’s website after her round. “Last week, I really struggled with my putting and I really focused on that and actually holed a few putts today.
“Everyone else in the top 10 jumped up (last week) so I have to perform well in the bigger events.”
Green said she is looking forward to the final two rounds on a course she has found to her liking.
“There are a few holes where you have short wedges in so you have to dial in your irons,” she said.
“You really have to stay patient because the greens can be tricky. Donald Ross designed courses are always pretty difficult.
“It is just one of those courses where you have to be patient.”
Five players are backed up behind green at 3-under while Jayde Panos is next best of the Australians at even par and T26.
Rebecca Artis and Stephanie Na are 2-over and T56 while Emily McLennan battled to a 6-over 7 to be outside the top 100.