As with evolution, BBT is often tagged by Young Earth Creationists as yet another theory invented out of thin air by atheists looking to deny that God created the universe and everything in it. Obviously, this is not a scientific argument by any stretch of the imagination, and, like the similar charge leveled at evolution, the claim is false on its face.
BBT is not only accepted by most mainstream Christian (and other religious) denominations, but also even by Old Earth Creationists like Hugh Ross. Some Christian philosophers even try to use the BBT as evidence for the existence of a creator - they point out, e.g., that this scientific theory agrees with the Bible on the point that the universe had a beginning, that light came first (although this is a crude misrepresentation of what the BBT actually says), etc. For articles containing discussions of this type of arguments, see, e.g., the page Physics and Religion.
Finally, it should be pointed out that Lemaitre, one of the originators of the BBT (the central equations of the BBT are often called the "Friedman-Lemaitre equations"), was actually a Jesuit priest! Source