Definition of mildly adverb from the Oxford Advanced Learner's Dictionary

     

    mildly

     adverb
    adverb
    BrE BrE//ˈmaɪldli//
     
    ; NAmE NAmE//ˈmaɪldli//
     
     
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  1. 1slightly; not very much mildly surprised/irritated/interested Those figures are mildly encouraging, but we need faster progress.
  2. 2in a gentle manner ‘I didn't mean to upset you,’ he said mildly.
  3. Idioms used to show that what you are talking about is much more extreme, etc. than your words suggest The result was unfortunate, to put it mildly (= it was extremely unfortunate). To say I’m disgusted is putting it mildly.
See the Oxford Advanced American Dictionary entry: mildly