It pisses me off, so I'm not doing anything I don't want to do.
Literal
Irritating [because-から], do-not-want things [topic-は] do-not.
けったくそ悪い is a coarse dialectal/vulgar expression meaning 'irritating / disgusting / infuriating' — けったい (Kansai for 'weird/unpleasant') + くそ (vulgar intensifier) + 悪い. やりたくないことはやらない is a blunt declaration of refusal, with the topic は contrasting 'things I don't want to do' against an implicit 'things I do want to do.'