no offense taken
I was not offended or insulted by what you just said. A: "Sorry, I didn't mean to imply that we didn't appreciate your help!" B: "No worries, no offense taken."
No offense taken.
I am not offended [by what you said]. (See also No offense meant.) Pete: Excuse that last remark. I did not want to offend you. Tom: It's okay. No offense taken.