答案：D

题目分析:考查时间状语。从句子结构判断，逗号前是时间状语，如果分词做状语则主句主语tears应该是分词的逻辑主语，比如：On/ while hearing the news that they lost the game, she burst into tears; 由此可排除A，B，C三个选项，故正确答案选D。句意：凯特一听到她们输了比赛的消息，眼泪就流了下来。