In a flirtatious or playfully charming manner; behaving with deliberate charm to gain attention.
From 'coquettish' plus the adverb suffix '-ly,' which converts adjectives into adverbs describing how an action is performed.
Adverbs with '-ly' can sound funny when they pile up with other syllables—'coquettishly' has that bouncy, theatrical quality that actually matches the behavior it describes, making the word itself sound a bit flirtatious and dramatic.
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