shut 是关闭，shut your ears to something 就是闭上了耳朵，意思就是充耳不闻、置之不理，这是一种不理不睬的行为。

【例句】
She decided to shut her ears to all the rumours.
她拿定主意对所有的谣言置之不理。

Many students shut their ears to listening to this lecture.
许多学生对听这个讲座充耳不闻。