'bafflingly' originates from English, specifically the verb 'baffle', where the suffix '-ing' formed the adjective 'baffling' and the suffix '-ly' formed the adverb 'bafflingly'.

'baffle' changed from earlier English/Scots forms such as Middle English/Scots 'baff' (meaning to strike or to check), and through Early Modern English became the verb 'baffle' (to frustrate or perplex); the adjective 'baffling' and the adverb 'bafflingly' developed from that verb.

Initially it carried senses like 'to strike, check, or frustrate' (physical or figurative); over time it shifted to the sense 'to perplex or confuse', and 'bafflingly' now means 'in a confusing or puzzling manner'.