"Negative publicity" refers to unfavorable or critical information about a person, company, or product that is shared with the public. It can harm the reputation or image of the subject, often leading to a loss of trust or credibility.
Some of those «success stories» involved making new governmental regulations, but others worked by just generating a lot of negative publicity for their targets. (politics.stackexchange.com)
Negative publicity about any such dating website is easy to spot. (articlesfactory.com)
Variable annuities have received negative publicity in recent years, which may keep individuals from buying them. (fedweek.com)