If you say that something does not happen or is not done unduly, you mean that it does not happen or is not done to an excessive or unnecessary extent.
'But you're not unduly worried about doing this report?'—'No.'
“但你没有过分担心作这个报告?” “没有。”
This will achieve greater security without unduly burdening consumers or the economy.
这将提高安全性,而且也不会给消费者或经济增加过多的负担。