I don't want to marry my cousin

Assalamu'alaykum...
The best way to solve this is to do istigharah. :) Always turn to Allah for these matters. Insh'Allah He will guide you to that which is best for you.
And also.. which has been mentioned before.. is that you have the right to say no. Your parents obviously made this choice because they think it's right for you.. Do talk to them about it, and explain. Insh'Allah they will understand.
But it's your life and you're the one who has to spend your life with him, so it's gonna be your decision at the end of the day anyway.
Good luck & may Allah guide you.