noun
previous engagement; prior commitment
Refers to a prior arrangement or obligation that prevents one from accepting a new invitation or task. The gloss 'previous preconception' is likely a misinterpretation; the core meaning is a prior engagement. Rare and somewhat dated; modern Japanese more often uses 先約 (せんやく).
あいにく先口があって、その日は伺えません。
Unfortunately, I have a prior engagement and cannot visit that day.