The verb diaponeō describes a state of deep vexation or distress — being worked through with trouble. In Acts it describes the reaction of the apostles' opponents when the gospel message was spreading successfully. The intensity of the word suggests more than mere annoyance: a deep, agitated disturbance.
The opposition's diaponeō response to the apostolic preaching reveals a key dynamic in the spread of the gospel: the success of the kingdom message provokes intense resistance from those whose power it threatens. Yet in Acts, every such episode of opposition becomes an occasion for greater advance. The authorities' distress ironically testifies to the effectiveness of the preaching they're trying to suppress.