Most websites and major search engines, including Google, Bing, and Yahoo! have polices that they will voluntarily remove content from webpages and search results if given a valid court order declaring that content is defamatory. It usually takes a number of correspondences and follow up to ensure the content is removed from the offending website and from the search engine's index (i.e. Google, Yahoo, Bing, et.al.).
From a webmaster forum, "How robust is a court ordered content removal from Google search?" The expert answered, "Most reputable or ethical online businesses of all sorts especially the Googles, Yahoos etc. have a way for anybody to request removal content for a variety of reasons based on infringement. It is called the The Digital Millennium Copyright Act (DMCA) is a United States copyright law that implements two 1996 treaties of the World Intellectual Property Organization (WIPO). What's left is most likely some other form of either illegal activity, harassment or privacy matters, and those can be reported in most cases and the company will act."