Green was the only one of the four Australians in the Pure Silk Bahamas LPGA Classic field to finish in red figures for 72 holes, her 4-under total good for a share of 11th place.
American Brittany Lincicome successfully defended the title she won in a dramatic play-off in 2017 with a blistering final round of 7-under 66.
At 12-under she finished two shots ahead of Wei Ling Hsu of Taiwan with Amy Yang and World Number One Shanshan Feng sharing third at 9-under.
Sarah Jane Smith, Katherine Kirk and Su Oh all found the going tough at the Ocean Club golf course with Smith particularly disappointed after making a brilliant start.
The likeable Queenslander was in a share of second after the opening round but after day two was suspended because of strong winds her momentum vanished.
Smith finished the week T30 after scores of 69-73-77 to be even par, three shots ahead of Su Oh at T54.
Katherine kirk also started well but slipped down the standings over the final two rounds, 78-75 in the last two rounds dropping her to 4-over and T58.
With the event shortened to 54 holes because of the lack of play on day two Lincicome was brilliant over the final 36 holes to post 67-66.
In breezy conditions they were easily the best two scores of the week as the big hitting American claimed her eighth LPGA Tour title.
With 11 birdies and an eagle for the week Green showed little in the way of nerves having stepped up to the world’s premiere women’s circuit courtesy of a brilliant 2017 season.
Green opted to play a full schedule on the secondary Symetra Tour last year and with three wins and a second-place finish on the money list graduated to the main Tour on merit.
That decision has already proved the right one with such a strong showing to start the season and with the Women’s Australian Open the next event on the schedule, Green will again be in her comfort zone as she aims to get her year off to a strong start.
RACHEL BAILEY DRAWS A LINE IN THE SAND TO IMPROVE BUNKER PLAY:
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