Indeed, people can be offensive accidentally and/or ignorantly. And yet, people can also be offensive while seeking truth. The offensive thing might not even be true, but to reach a conclusion either way, the offensive thing must be entertained as a hypothesis.

What if there was a hypothetical situation where the goal of seeking truth and the goal of not offending were at odds with each other such that one had to chose one or the other? Which goal is more important, truth seeking or non offense?

People have hinted that it depends on the situation. Pretend I'm an alien and and I know nothing of our society. How would you explain this to me? What algorithm is used to decide when it's ok and when it's not ok to offend? And on a related note, why is it ok to offend certain groups but not ok to offend other groups? Eg. It's ok to offend religious people but not ok to offend ...