In a messy, chaotic, or confused manner; without organization or proper arrangement.
From disordered (adjective) + -ly (adverbial suffix meaning 'in the manner of'). This creates an adverb describing how something happens in a disorganized way.
This adverb is so rare that most people would say 'in a disordered way' instead—English loves to trim down awkward -edly adverbs when they get too clunky.
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