She was visibly relieved after hearing the good news.

visibly 是由形容词 visible（可见的）加上后缀 -ly 构成的副词。visible 来自动词 see（看）的词根 vis-，表示"能看见的"。visibly 意思是"明显地、显而易见地"，用来形容某种状态能够被明显观察到。