in a rude way that does not show respect, especially towards someone older or in a higher position than you

We now impertinently presume that professional women like her didn't exist in those days. 我们现在不客气地推断，像她这样的职业女性在那个时代是不存在的。

A guest asked me rather impertinently if the salmon I was serving was organic. 一位客人相当无礼地问我，我端上的这道菜选用的鲑鱼是不是有机的。