insinuationin‧sin‧u‧a‧tion /ɪnˌsɪnjuˈeɪʃən/ noun 
1[countable] something that someone says which seems to mean something unpleasant, but does not say this openly: 
She rejected the insinuation that she was partly to blame.2[uncountable] when someone says something insinuating
1[countable] something that someone says which seems to mean something unpleasant, but does not say this openly: She rejected the insinuation that she was partly to blame.2[uncountable] when someone says something insinuating