Every now and again, I notice certain quagmires science still seems to be stuck in, because of having the need to maintain religious neutrality by treading lightly on certain topics. I can think of a few examples off hand, but I am sure there are others.
1) - Archaeology - Most of the hypotheses about older civilizations still center on the 6,500 year old Earth according to the Bible. While geologists and paleontologists are allowed to put the start of the world back in millions of years, the origin of civilization is still anchored more or less on 4500 BC. Except in a few cases where the evidence is overwhelming (such as Gobekli Tepli) Going any further back than that invites controversy, and lots of it
2) - Population policy. Science has established that planet Earth will be around for at least another billion years, so there's really no need to be in a hurry to create all the babies we can right now, since a virtually unlimited number would eventually occupy Earth one after another by dying and having kids of their own. But how much comfort is that to someone who belongs to an end-of-days religion? They think Jesus Christ is going to come any minute and end it all (and their predecessors have been thinking this for nearly 2000 years.)
3) - Stem Cell Research: stymied by the superstitious belief that a pre-embryo consisting of just a handful of cells, not developed even to the point of having a central nervous system, let alone a brain capable of processing human thoughts/emotion, may still have a "soul" or "spirit" of some kind hovering around it somewhere, which would become upset if we were to conduct experiments on its unfeeling tissue.