Dating the religious.

So I met and found myself attracted to a woman recently. I haven't directly addressed religion with her yet, but there are indications that she is more than nominally religious -- as in, she seems to at least sometimes go to church.

All the same, she seems interested in me, and we have an extensive next date set up. I realize that there's a risk that when she finds out I'm an atheist she might go screaming for the hills, so I'm hoping she finds enough things about me to like before she learns this fact such that she decides to stick around a while.

Any thoughts on how I might break this to her? Any thoughts on whether the relationship is necessarily doomed? Particularly interested to hear from other non-religious folks who have been able to form and sustain good relationships with religious partners.