damage (someone's) reputation

Translations
повредить (чью-то) репутацию
The scandal could damage his reputation significantly.
Скандал может значительно повредить его репутацию.
Definitions
To harm or negatively affect the public perception or standing of an individual, often through false information, rumors, or actions that lead others to view them unfavorably.
Words
reputation

noun
репутация
damage

verb
повредить