Wie, of Honolulu, Hawaii, was ousted by Allison Johnson 1-up, but made things rather interesting down the stretch.
Two-down through 16 holes at the Kemper Lakes Golf Club, Wie was faced with a 50-foot birdie putt at the 17th, which she promptly made to get to within one stroke of the 20-year-old.
She then missed holing a bunker shot by mere inches at the closing 18th.
A par tap-in for the sixth-grader was not quite good enough, as Johnson two-putted from 35 feet for the win.
I just kept telling myself, I cant get beat by an 11-year-old, said a relieved Johnson following the match. Shes awesome. I was in shock ' she hits it so far.
All week, Wie has been dazzling gallery members with her stupendous play. This session marked her second year competing in the Public Links Championship ' she made USGA amateur history last year by qualifying for the match as a 10-year-old.
Now, she is looking forward to next season.
It was really fun, claimed Wie. I got more experience, and I think Ill go even farther next year.
Chances are she will.
Johnson went on to beat Virada Nirapathpongporn of Thailand in the afternoon quarterfinals, and will play Missy Farr-Kaye in Saturdays semifinals.
Kaye beat Kimberly Welch of Sacramento, Calif. to reach the semis.
In other matches, Candie Kung, the 19-year-old qualifying medallist from Taiwan, ousted Sara Jones of Valencia, Calif. 7-and-6. Karla Schuldt also edged out Chin Huei Hung 1-up.
They will all compete on Saturday.
The Womens Amateur Public Links Championship is in its 25th season. It is one of 13 events hosted annually by the USGA, ten of which are strictly designated for non-professionals.