She made her way slowly to the waiting room and patiently waited for the train to arrive.

patiently 是形容词 patient（耐心的）加上副词后缀 -ly 构成的副词形式，表示"以耐心的方式"。patient 来自拉丁语 pati（忍受、承受），形容能够平静等待或忍受困难的状态。