The phrase "gives one a black eye" is commonly used metaphorically to mean damaging the reputation or causing embarrassment. However, there are several synonyms that can be used to convey the same meaning more precisely. Some of these synonyms include discredit, tarnish, stain, blemish, stigmatize, and defame. These words imply causing harm or damage to one's character, instead of just physical appearance. Using these alternative phrases can help to clarify the intended meaning and make communication more effective. It is important to choose the appropriate synonym that best fits the context to ensure that the message is accurately conveyed.