Wie's on-course performance will have to improve dramatically if she wants her sponsors to re-up.
When it comes to the world's highest-paid female athletes, Wie has little competition in golf.
One shot ahead of Ko and Thompson in a four-way tie for 13th was Michelle Wie.
As an amateur Wie played in 24 LPGA tournaments, making the cut in the last 16.
Michelle Wie, 14, had the biggest US win beating Anna Highgate on the 14th.
"I've never played Se Ri before but I really respect what she has done, " said Wie.
Wie will become only the second woman to play on the European tour, after Laura Davies.
Wie birdied the second and picked up another shot at the seventh to turn in 34.
So even with the Michelle Wie show, Annika has shown that she is the world's greatest female golf player.
Wie has come under intense media scrutiny since she first qualified for an LPGA event aged 12.
The only female athletes in Wie's vicinity are tennis stars Maria Sharapova and Serena Williams.
Big hitters like Nike and Sony did not have to wait for Wie to actually win something.
BBC: The hour before school started was always a busy time for me.
Upon graduating from Stanford University last year, Ms. Wie moved with her parents from Palo Alto, Calif.
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Sixteen-year-old golf prodigy Michelle Wie is playing in her first professional tournament, the Samsung World Championship in Palm Desert, California.
"I've wanted to do this since I started playing golf and got really serious about it, " Wie added.
Women's golf is a huge sport in Asia, and Wie will cash in thanks to her Korean ancestry.
But Nike and other sponsors are not looking to pay Wie to be competitive on the LPGA Tour.
Next in Wie's sights will be the top female sports earners, tennis stars Maria Sharapova and Serena Williams.
BBC: The hour before school started was always a busy time for me.
Wie, now 23 and back to golf full-time, may yet achieve adult stardom, but the sledding has been tough.
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At 13, Michelle Wie, the U.S. golfer, was supposed to evolve into a player who could compete with men.
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So while Wie made a fortune from endorsements, Manziel can earn nothing.
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Michelle Wie, 19, will make her debut for the US after she was handed one of captain Beth Daniel's wildcards.
Still, Wie is a lot more accomplished on the LPGA than Woods was on the PGA when he turned pro.
Golf's teen sensation, Michelle Wie , officially turns pro on Wednesday with much fanfare expected at her announcement in Hawaii.
Wie will get paid to hit 300-yard drives when the next biggest hitter on the LPGA Tour averages 270 yards.
Wie played seven events this year and finished no lower than 23rd, including three second-place finishes and one third-place finish.
Local favorite Michelle Wie followed her opening 70 with a 76 to put her in position to miss the cut.
Wie dropped two shots in the opening four but recovered with three birdies to post a 72 at Cherry Hills.
Wie's attempt to qualify for this week's US Open came to nothing when she failed to advance in a local qualifier.
Wie would qualify for the Open if she finishes in the top 10 this week and is the leading non-exempt player.
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