Its not scary.. it's in fact more common than you think, my mom and my sister are Rh negative.. I am not!
They will give you a rhogam shot at about 28 weeks of pregnancy and then after the childbirth. My sister had four kids and no complications alhamdulillah.. she just got her shots right after the delivery.
i am rhesus negative and was given anti d shots at 28 wks and after delieveries as both of my children r rhesus positve , its not a thing to worry abt as long as u take your anti d injections