ur 21 and at 21 it seems the end of the world not being with the guy you love, but its not...
I've been to Egypt too many times and I am familiar with your culture. Given what I have examined, your parents would probably listen to you and support you if you show your willingness to marry a Muslim from Pakistan. They may object at first, but then, they'll come around.
However, the absolute worst you can ever do to your family, is to marry and go to Pakistan without them knowing about it. That would just kill them. So don't do it! This is my honest advice. As straight as I can put it. Take the blessings from your parents, and take them in confidence. This is your best approach. They'll help you come up with some solution. I'm sure of it.