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In 2007, Rosenbaum was selected to be a United States magistrate judge of the U.S. District Court for the Southern District of Florida. Her service as a magistrate judge ended on June 27, 2012 when she was elevated to district court judge.
On November 30, 2011, President Barack Obama nominated Rosenbaum to be District Judge for the Southern District of Florida, to replace Alan Stephen Gold, who assumed senior status on January 10, 2011. The United States Senate confirmed Rosenbaum by a 92–3 vote on June 26, 2012. She received her commission on June 27, 2012. Her service as a district court judge was terminated on June 3, 2014 when she was elevated to the court of appeals.
On November 7, 2013, President Barack Obama nominated Rosenbaum to the United States Court of Appeals for the Eleventh Circuit. She received a hearing before the Senate Judiciary Committee on February 11, 2014. Her nomination was reported out of committee on March 6, 2014 by a voice vote. Cloture was filed on her nomination on May 6, 2014. On May 8, 2014, the United States Senate invoked cloture on Rosenbaum’s nomination by a 57–37 vote. On May 12, 2014, her nomination was confirmed by a 91–0 vote. She received her commission on June 2, 2014.