Side表示旁边，eye眼睛，眼光。所以side-eye就是我“斜了你一眼”，也就是用旁光看你，用来表示不屑，厌烦，愤怒和怀疑。

【例句】
I sighed, gave him the side-eye and told him he was lying.
我叹了口气，不屑地看了他一眼，告诉他他在撒谎。

A side-eye at my Hamlet hat.
他们朝我这顶哈姆莱特帽斜瞟了一眼。