* Offend means to cause someone to feel hurt, annoyed, or upset.
* Contradictory means to state the opposite of something, or to be in conflict with something else.
For example:
* Offend: "I didn't mean to offend you with my joke."
* Contradictory: "Your statement is contradictory to the evidence."
It's possible to offend someone by saying something contradictory, but these are separate concepts.