PARIS — Casey Kaufhold, the world’s No. 1 archer, was knocked out in a shocking round-of-32 upset by Lei Chien-ying of Chinese Taipei on Thursday, as American women will stay off the Olympics podium for at least another four years.

Kaufhold’s 7-3 loss to the world No. 36 ended hopes for a U.S. woman to medal in this event for the first time since 1976.

Her U.S. teammates, Boston’s Jennifer Mucino and San Diego’s Catalina GNoriega, have also been eliminated. Mucino lost in the…