Adverb
in an exasperating manner
Source: WordNetFor now they remain exasperatingly loyal to the past: an organisation founded in a split approaches its centenary as divided as ever. Source: Internet
Now a pediatric surgeon, he’s maintained an unrequited crush on Cassie, and is so exasperatingly unobjectionable she cannot fully resist the unwanted distraction of his pitched woo. Source: Internet