The word "insinuation" refers to a suggestion or hint that is made indirectly in order to imply something negative or unpleasant about someone or something. Full definition
Wouldn't it be more effective to answer the challengers, some of whom are highly credentialed climate scientists in their own right, with scientific data and arguments, instead of snide insinuations of venality and deceit? (archive.boston.com)
He further dismissed insinuations in some quarters that the state legislators are Governor Rochas Okorocha's puppets. (nigeriapoliticsonline.com)
Certain public leaders appear to be being attacked by insinuation without due process.» (premierchristianity.com)