Is it normal to be sensitive?

First off, I'm the type of person who was given the unfortunate gift of an enlarged heart. I mean this metaphorically. I feel too much before I think. Is this normal?

I'm not sure if it's some type of mood disorder, or if it's common. Lately my boyfriend seems to say things, and they hurt my feelings. It's nothing abusive, just rudeness. Or I feel like he's being harsh with me. Then he says I'm too sensitive. So this is what got to wonder if maybe I do have a mood disorder. But I'm not the type to want medication, not into the whole "pill for every ill" mentality in my country.
Any one else feel before they think?