unobtrusiveness — not obtrusive; inconspicuous, unassertive, or reticent.
discreetness — judicious in one's conduct or speech, especially with regard to respecting privacy or maintaining silence about something of a delicate nature; prudent; circumspect.
prudery — excessive propriety or modesty in speech, conduct, etc.
modesty — the quality of being modest; freedom from vanity, boastfulness, etc.