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to interfere (with); to hinder; to be hindered (from doing); to become impeded; to have difficulty; to suffer inconvenience
急な雨が野外イベントに差支えた。
The sudden rain interfered with the outdoor event.
騒音が勉強に差支えている。
The noise is interfering with my studying.
工事が差支えて道路が一時的に通行止めになった。
Construction caused the road to be temporarily closed.