This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

adj. Not sensitive; lacking sensory perception.

adj. Not sensitive; wanting sense or perception; not easily affected.

Not sensitive; not keenly alive to impressions from external objects.

Wanting sense or perception.

n. One having no sense or perception.

adj. never having had security classification

"FBI spokesmen publicly sought to downplay the damage, saying the compromised commercial server -- maintained by AT&T -- was used exclusively for unclassified and "nonsensitive" communications that did not involve ongoing investigations."

unclassified   

insensitive