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Sicken
Strong Disgust
Use 'sicken' to express intense negative emotions towards something morally disturbing or repulsive. 
Not Literal Sickness
Remember, sicken in this context doesn't mean becoming physically ill, but feeling deep contempt. 
Intensity Matters
Use 'sicken' for impact; it's much stronger than just saying something 'bothers' or 'annoys' you. 