Where was Poetry filmed?
2010 film directed by Lee Chang-dong
Wikidata records no filming location for Poetry (2010) at all, not a place, not even a country. There is nothing to pin, and this page says so rather than guessing.
From published sources
Places named by newspapers, film offices, archives and city filming permits. Each source is linked.
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Towns & cities
Hoengseong-eup
South Korea
Film archive record: 횡성성당, 강원도 횡성군 횡성읍 태기로19번길 25“거짓과 위선으로 가득 찬 세상으로 인해 지친 미자가 찾는 성당” Korean Film Archive
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Towns & cities
Sangdang-gu
South Korea
2 film archive records: 창성한의원(구 연어가 돌아올 때), 충청북도 청주시 상당구 상당로 109-1“연어가 돌아올 때 에서 촬영되었으나 폐업” Korean Film Archive
Why there is no pin
Its Wikipedia article also says it was filmed in Gangwon Province, without naming a place, so it is not on the map.
Filming locations that are mapped there: South Korea