A Gold Coast City councillor says she's been threatened with gang-rape and death over a proposed mosque, and Facebook has been protecting the identity of her tormentors.

Chris Robbins says she has spent several weeks trying to get Facebook to reveal the identity of the creators of the "Stop the Mosque at Currumbin" page after it used a photo of her as its profile picture, claiming she was receiving money from unspecified Islamic backers, a claim she denies.

The photo was subsequently removed after Ms Robbins engaged a lawyer who threatened the social media website with defamation, but the page and user comments threatening her with violence remain.

Ms Robbins said she was targeted by protesters after announcing council had received an application to build a mosque at an industrial site in Currumbin on the southern end of the Gold Coast.