You know what's interesting about hurt. It looks different to everybody. If we look at it in a personal sense, our hurt is meaningful. However, from an outside perspective our hurt can be seen as a form of entitlement; something people ought to invalidate. What a shame.
Labeling someone as sensitive as a means to retaliate or to invalidate their feelings is wrong. When someone is 'sensitive' it's because they saw a nuance to yours actions that you miss or fail to see. Perhaps take the time to think about why you made someone feel the way they did instead of bostering your ego.