"Secular authorities" refers to government or leaders who are not affiliated with or controlled by any particular religion. They make decisions based on laws and regulations that are not influenced by religious beliefs. Full definition
Such authorities are pretty much regarded as irrelevant either way, and their views add little of value to the positions of secular authorities. (firstthings.com)
You have no legal standing or right to impose your religion on others, especially where secular authority is concerned. (religion.blogs.cnn.com)
They do not have the right to have their institutions «blessed,» sanctioned or legitimized by secular authorities / regulators, especially when legitimization of those institutions would harm other groups. (slaw.ca)