What can I do if my birth control is not right for me?

So since I’ve been on this brand of Birth control my body hates it. Not only to I break out constantly, but at least 3 times every month I get vaginal thrush. Is that good enough reason to ask my gyno to give me either a different birth control or do you think they’re going to just give me creams and other antibiotics to help with the thrush and keep me on this birth control? And if so how do I further convince her to take me off of it? I’m not saying I’d have to argue with her but I’ve had a bad history with doctors not listening to me.