A first-round 78 left her with a major hill to climb to make the top 70, and a second round of 72, with a birdie at the 18th, left her with five shots too many to survive the 36-hole axe.
Her younger sister, Ariya, was the first golfer from Thailand to win a major championship after taking home the trophy at the 2016 Women's British Open.
LPGA Tour officials, to the consternation of many, cancelled existing scores and made it a 54-hole tournament starting afresh on day two.
Park shot 63 in the first round of the Evian a year ago, when she finished joint second as Chun In-gee won over the standard 72 holes in a world record of 21 under par.
A further shot adrift is Jennifer Song after the round of the day in France, the American carding an error-free 65 to climb an impressive 46 places and leave her in contention for the title.
"But I reckon if I keep knocking on the door, one day it will be my turn", she said.
Feng played in the final group at the U.S. Women's Open, but a final round 3-over par 75 led to a fifth place result.
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"I didn't play well today, so I have a little gap from the top players", Park said.
Playing in her final tournament before retirement, Japan's Ai Miyazato made a great start with a 68.
Announcing the decision to shorten the event yesterday, Ladies Professional Golf Association commissioner Mike Whan commented: "Some players will not like it, but I'll take the brunt of that". But she went on to finish in a disappointing tie for 16th at St Andrews. I don't think it is quite so stressful when you are the one playing.
"I told myself to.just go back to good swing thoughts and hitting fairways and greens and the putts will eventually drop", she said. "I just keep trying".
She claimed her third victory on tour, and first in seven years, at the Thornberry Classic at Wisconsin in July, when she admitted she nearly gave the game in 2015 and 2016 following seasons of struggle.
Kirk peeled off a five-under-par 66 to sit alongside Anna Nordqvist, one behind Moriya Jutanugarn and three from leader Sung Hyun Park, the luckiest player in the field.
Park had been six over through just five holes in the rain and wind before play was abandoned and all scores wiped.