adj.

1. Not interested; indifferent.
2. Not anxious or apprehensive; unworried.

unconcernedly un'con·cern'ed·ly (-sûr'nĭd-lē) adv.
unconcernedness un'con·cern'ed·ness n.

adjective

1. Without emotion or interest: apathetic, detached, impassive, incurious, indifferent, insensible, lethargic, listless, phlegmatic, stolid, uninterested, unresponsive. See feelings.
2. Lacking interest in one's surroundings or worldly affairs: aloof, detached, disinterested, incurious, indifferent, uninterested, uninvolved. See attitude/good attitude/bad attitude/neutral attitude, concern/unconcern.
3. Lacking or marked by a lack of care: careless, feckless, heedless, inattentive, irresponsible, reckless, thoughtless, unmindful, unthinking. See careful/careless.
4. Showing no concern, attention, or regard: careless, forgetful, heedless, mindless, unheeding, unmindful, unobservant, unthinking. See careful/careless.

adj

Definition: carefree, apathetic
Antonyms: caring, concerned, curious, interested

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IN BRIEF: Free of worry. Also: Not having an interest in.

Happiness is a matter of one's most ordinary and everyday mode of consciousness being busy and lively and unconcerned with self. — Iris Murdoch (1919-1999).