Sensitivity
People use the word sensitive to mean one of two things. "She's so sensitive," means either a) "She is capable of real empathy," or b) "If there is any possible way to construe what you said as an insult, she will find it."
Thing is, I have never seen these two traits exist simultaneously in the same person. People of the first type are also the same people who say, "I'm sure he didn't mean that the way it sounded," or "She's going through a lot right now and I'm gonna cut her a little slack." When you laugh at their idiosyncrasies, they laugh along with you. They don't mind it when their friends have a little fun teasing; they're just glad you're laughing. Sometimes they try to tease back, but they usually apologize immediately. They would hate to hurt you.
Conversely, people of the second type also tend to be abrasive. They will say thoughtless things to you all the time that, if your positions were reversed, they would be howling about how awful you are to anyone who would listen. I guess if you're that focused on your own emotional state, it's hard to project yourself into anyone else's.
This is why when you tell me someone is sensitive, I am full of questions. I think we may need to retire the adjective altogether.