Elder needed a 10 on his final arrow to beat Kim, but he bobbled after drawing and had to reset, eventually missing low for a six. Kim went on to beat Tarundeep Rai of India to reach the round of eight under dreary conditions at Lord's, the famous cricket ground.
In women's competition, reigning world champion Denisse van Lamoen of Chile was upset by Kristine Esebua of Georgia. Esebua was quickly beaten by Lee Sung-jin of South Korea.
Ren Hayakawa, who helped Japan to the team bronze on Sunday, also remained alive with narrow victories over Christine Bjerendal of Sweden and Russia's Inna Stepanova.