Webster's Revised Unabridged Dictionary · 1913

Inexpedience

Inexpedience , noun

The quality or state of being inexpedient; lack of fitness; unsuitableness to the end or object; impropriety; as, the inexpedience of some measures.
It is not the rigor but the inexpediency of laws and acts of authority which makes them tyrannical. — Paley

Also: Inexpediency