Actually, there is usually little or no bleeding involved when the hymen breaks. Also, most women tear their hymen long before they ever have sex. Now, it is certainly possible that you are one of the women in the minority here with a really tough and durable hymen, but I just wanted to clear up that misconception.
It is possible that you tore some skin inside the vagina. Many woman tear skin inside without even realizing it. It can bleed quite a bit without even hurting. Many people do not realize just how fragile the inside of the vagina is. It can tear from fingernails or from being too dry during sex.
Like Georgia said, the only way to know for sure is to talk to an ob-gyn. You're supposed to go get looked at when you become sexually active anyway.