Domain-name registrar GoDaddy.com Inc. has lost an effort to force the recusal of a federal judge based on alleged bias toward the Academy of Motion Picture Arts and Sciences, whose own attorney it said referred to her as “the Academy’s judge.”

In 2010, the Academy, which hosts the Oscars awards show, sued GoDaddy.com for cybersquatting. The suit alleges that GoDaddy.com offers a program by which its customers can “park” a Web page—in this case, allegedly under infringing domain names—for the sole purpose of collecting ad revenue derived when users click onto the sites.