Don't say "you're overreacting" to people after doing something to them that didn't work as expected

You can't tell anybody that they shouldn't feel offended or bad about something you've done: 

IF you can, put yourself in their shoes and see how you'd feel. 

IF you can't, then take their word for granted when they say they're offended.
You have to understand them anyway you can, emotionally or rationally. If not, get ready for consequences.