Secular

Secular ... i.e. non-church, as opposed to Sacred, meaning it has to do with the church or God.

Secular music is music that is not devoted to God, e.g. love songs, dance music, etc.

Secular authorities are Kings, Princes and so on - not the local Bishop or Archbishop, who are the ecclesiastical authorities (usually. In the Papal States or some cities in Germany, eg Mainz or Cologne they could be the same people).