From 1996 through 1998, Dozier was an anchor for BBC World Service's program titled "World Update", an hour-long, live foreign affairs broadcast, among other programs. From 1996 through 2002, Dozier served as the London bureau chief and chief European correspondent for CBS Radio News and as a reporter for CBS News television. Her assignments included the war in Iraq, the war in Afghanistan and the hunt for Osama bin Laden, the crisis and refugee exodus in the Balkans, Vladimir Putin's election, the death of Princess Diana, the Northern Ireland peace process, and the Khobar barracks bombing in Dhahran. She has interviewed dozens of newsmakers, including U.S. Gen. Joseph Dunford, Stan McChrystal (ret.) David Petraeus, Secretary of State Condoleezza Rice, Gerry Adams and Yasser Arafat.