1718, also bauther, bather, bodder, "to bewilder, confuse;" 1745 as "give trouble to," probably from Anglo-Irish pother, because its earliest use was by Irish writers (Sheridan, Swift, Sterne). Perhaps from Irish bodhairim "I deafen." Related: Bothered; bothering. As a noun from 1803.
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Definitions of botheration from WordNet
the psychological state of being irritated or annoyed;