答案：C

题目分析：句意：是从战争突然爆发的利比亚我们设法救了中国的工作人员吗？第一空填where 引导定语从句，修饰Libya，定语从句中不缺主宾表，缺少地点状语，用where引导，第二空填that，It was ... that 是一个强调句型。from Libya where wars suddenly broke out 是被强调部分，we managed to rescue(营救) the Chinese working staff from Libya where wars suddenly broke out.所以选C。