In a disturbed manner; with signs of confusion, worry, or agitation.
From disturbed (past participle of disturb) + -ly adverbial suffix. The -ed creates an adjective from the verb, then -ly makes it modify verbs or adjectives as an adverb.
English makes adverbs so efficiently that you can take almost any adjective and add -ly, but we rarely hear 'disturbedly' in speech because we prefer 'with disturbance' or 'in a disturbed way'—showing how some logical word formations just don't survive in actual usage.
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