Three consecutive birdies from the 13th hole took the American clear as she finished three shots ahead on 12 under.
Shin was joined in a four-way tie for second with Kristy McPherson, Suzann Pettersen and Lee Jee-young.
Wales' Becky Morgan was the highest Briton on the leaderboard after a round of 69 left her on five under par.
Scotland's Catriona Matthew was joint-21st after a disappointing final-round 74, while England's Laura Davies went four under par on the final 18 to salvage a share of 30th place.
What have you made of Wie's performances this year?
Wie, whose debut Tour win came in November's Lorena Ochoa Invitational in Guadalajara, was pleased with all aspects of her game.
"I made a lot of crucial putts out there today," she said.
"And you know, I think it was my ball striking that really kept me above water today. I have been working really hard at it and it's really nice to see that it pays off."
Michelle Wie
Michelle Wie
Michelle Wie
Michelle Wie
Michelle Wie
