Everything I've read and heard is that your pregnancy should be fine. You do need to see your OB/GYN and share your concerns, they can take a look with a sonogram to make sure things are fine - but as long as you're healthy, and feel well, you & your baby should be OK.
So many moms these days are single - it doesn't have the stigmas it used to have. Enjoy the pregnancy, and take good care of yourself and may all go well with you!