I know exactly how you feel, OP. My parents are very religious and disapprove strongly of sex outside of marriage. I was actually worried that they'd disown me. Telling them was one of the hardest things I've ever had to do. And they turned out to be brilliant - not at all as I was expecting.
They expressed disappointment over the fact that it had come about in a way different to what they had hoped for and expected of me. They followed that up with a promise to give me any support and help that I might need, and they have kept that promise.
In fact, later on, my Mum told me that once our chat was over and they went up to their room, Dad actually did a little happy dance as their first grandchild was on the way!
So, you are prepared for the worst, which is good, but you can hope for the best, because it could happen. And better they found out now from you telling, rather than seeing that you're obviously pregnant in a few months without you having mentioned anything to them.
You can do it, OP, you really can. Good luck. 