Cindy Lee Garcia's case also named YouTube and its parent company, Google Inc., as defendants for their role in distributing the short, crudely made film on the Internet.
A California state court judge on Thursday rejected her motion for an order for YouTube to pull the film off its site.
A Pakistani minister offered $100,000 (£61,600) on Saturday for the death of an online filmmaker.
US Embassies across the Muslim world have come under attack and a US school in Tunisia set on fire in protests against the anti-Islam film.
Protests against the anti-Islam film continue to spread with the US embassy in Yemen stormed, while protests continue in Egypt and Iraq.