Are we talking about simple words, or are we talking direct actions against me, too? Punches in the face?
I get the sense that I'm too detached--and too calculating--to get offended by words, for the most part. People are who they are, they do what they do, there may be partial truth in what they say; it's pretty easy to shove their words into proper context. If a person who's close to me has said something that 'should' cause me offense, I just ask for clarification--as those who are close to me are, more often than not, well-intentioned. Those who aren't just don't matter enough to offend me.
For instance, my mother-in-law tried to set my now-wife up with someone from her culture, while the two of us were dating--three times; I didn't get offended. I've had a paper or two get absolutely shredded by editors; some of whom actually read the thing, some of whom clearly hadn't. Either way.. ... well, what's the problem?
Actions, such as breaches of trust or punches to the face (barring sparring), could very well do it for me. Probably also threats against my life (which, yeah, are words).