Birth control help

Okay so I went t the doctor yesterday for a physical ( I'm 17) and the doctor said since my mom had breast cancer fairly bad, I can't go on estrogen or progersterone. My boyfriend is comming back and ya know. But I am worried I could get pregnant. So she said for sure the pill is out of the question. My friend has the arm implant but it really messed up her period; and they could only fix it by taking the pill on top of the implant. Can someone please help??