Birth Control

My parents want to put me on birth control. I don’t want to be put on it. Myself personally I believe in not having sex until marriage. I’ve told them repeatedly I’m not interested in sex until I’m married. My mom is fight with my dad trying to convince him to trust me. I have no cysts. My periods aren’t heavy. I don’t have bad cramps. I have little to no cramps. My periods are regulated. I’m 14. Do I have an option to refuse the birth control at the Gyno? I need help. I wish my dad would trust. What do you think?!