By her bringing up the topic of church, I agree that she was fishing for a negative reaction in the hopes that she could move forward with you. By not responding negatively, you "passed" the gateway test, and so you are now on to level two. Inviting you to church immediately after is an unusual move, but a pretty sound one IMO.
Basically, she is looking for something longterm and clearly sees at least some potential in you. By inviting you to church, she is laying her values out on the table and making it 100% clear that
A) her religion is extremely important to her and
B) she won't consider a man as a partner unless he is comfortable with this, and more likely, is of the same beliefs
Some people will inevitably think this is scummy, but I like her hard line stance on dating. She is making her demands clear BEFORE getting serious, rather than ambushing you with it later on after getting her hooks too deep in you.
After my first marriage which bore me a beautiful little girl, I eventually learned to throw that piece of news out there immediately when I started dating again. After all, if a potential partner isn't comfortable or receptive to the idea of entering into a situation where she will automatically take the back seat, I want to know this now BEFORE getting too attached.
Mad respect for this woman