He had the effrontery to ask me to apologize for his rude behavior last night.

effrontery 是名词，来自法语 effronté（厚颜无耻的），指"厚颜无耻的行为"或"放肆无礼的态度"。这个词带有强烈的贬义，描述某人做出令人震惊的无礼行为时毫无羞耻感。