Parents getting involved in relationship Need Help?

I was dating a girl a while back, but my parents got real mad about it for some reason when I introduced her to them. They told me never to do it again. This really pissed me off, me being 16 now and all. Now there is someone else who has a big crush on me and vice-versa but how can I tell her about my parents? I'm sure her parents would want to know my parents decision, and if I can't bring her to my house or tell my family that I'm going out with her, how can this relationship work out? Thanks.