however, that your actions caused you to believe you offended another shows you admit your actions were sinful
i say,
i compare all my actions against God's Law and if i break one of those, then it's sinful,
it's possible for me to offend another without breaking God's law, and that is not a sin.
i.e. if i sit down to a nice meal that someone cooked for me, and they put bacon in it, then i won't eat it, This may offend them but not break God's law.
I was making what i thought was a joke and from your reply i thought that you could have been offended, which wasn't my intention.