Please don't feel insulted, I don't mean to offend you, as in No offense, but I think you're mistaken. This expression, first recorded in 1829, generally accompanies a statement that could be regarded as insulting but is not meant to be, as in the example.
QUIZ YOURSELF ON AFFECT VS. EFFECT!
Words nearby no offense
Example sentences from the Web for no offense
Or has the see and hear and speak-no-evil stance of the Republican House persuaded him that he is in the clear?
These days, plenty of women are turning to online sites for no-frills male companionship.Career-Minded Women Turn to Male Escorts For No-Strings Fun and (Maybe) Sex|Aurora Snow|January 3, 2015|DAILY BEAST
But the fun starts when conservatives stop playing defense and go on offense.Steve Scalise and the Right’s Ridiculous Racial Blame Game|Michael Tomasky|January 2, 2015|DAILY BEAST
Riffing off the slogan “Now Everyone Can Fly,” the carrier offered no-frills flights that were both cheap and plentiful.The Presumed Crash of AirAsia Flight QZ8501 Is Nothing Like MH370|Lennox Samuels|December 29, 2014|DAILY BEAST
And why would its ostensible spokesperson refuse to answer yes/no questions about them?How Canadian Oilmen Pinkwash the Keystone Pipeline|Jay Michaelson|December 28, 2014|DAILY BEAST
My No. 4239 addressed to Maxwell and repeated to you was sent before receiving your telegram under reply.Gallipoli Diary, Volume I|Ian Hamilton
In this way it will be managed with less offense and with more ease to the conscience than now.
He was a new breed, that parson, a genuwine no-two-alike, come-one-in-a-box kind.Alec Lloyd, Cowpuncher|Eleanor Gates
A pupil had loaned money to a horse-dealer who lived at No. 715 of a certain street.Assimilative Memory|Marcus Dwight Larrowe (AKA Prof. A. Loisette)
In harmony with a fundamental rule of law, a member who has once been acquitted cannot be tried again for the same offense.Putnam's Handy Law Book for the Layman|Albert Sidney Bolles