There are numerous synonyms for the phrase "sicken at," including "revolt," "nauseate," "repulse," "disgust," "sicken," "disaffect," "alienate," "offend," "outrage," and "scandalize." All these words indicate a strong feeling of rejection and disgust towards something or someone. For example, when people hear about heinous crimes like rape, murder, or injustice, they feel sickened and repulsed. Similarly, some people might be sickened at the thought of eating insects, while others might feel revolted at the sight of blood. Regardless of the context, using synonyms for "sicken at" helps to convey a strong message of intense aversion and distaste.