Islamically, a marriage is not valid unless it has the mutual consent of the guy and the girl. That said, your parents can “confirm” all they want…but without your approval, it means nothing.
It would be more of an “insult” to your cousin and his parents. Rejection is unpleasant. It should not be an “insult” to your parents…and they only reason that they would perceive it as such is because they don’t want you to make them “look bad” when you’re compared to the other more obedient daughters within the family.
But is your obedience worth living a miserable married life? If you’re unhappy in your marriage…would your parents be satisfied? You can come on here and complain ALL you want in this thread…but **YOU"LL **be partly to blame if you say, “I do.” Can’t put all the blame upon family…cuz you have a responsibility toward yourself. You had the courage to look for a rishta on your own…so that gives me the impression that you’re a strong girl…that you seem to have more courage than some girls we’ve read about in this forum who were in the same situation. That said…continue speaking up for yourself…and especially make your feelings known to his parents (if need be).