Is it okay to be sensitive?

I consider myself sensitive because I tend to cry over smaller things. When I was little, people used to say "What a crybaby!" and "Why are you crying over everything?" and "loser" and many other bad names. But now I'm a teen and people say I'm compassionate and kind-hearted. I hardly hear anyone calling me a loser. I feel that when I listen to people talking to me, I can interpret some of their thoughts. I'm just really into the conversation. Is this sensitivity a special gift?