The best replacement for profane is sacred.

The best alternatives to profane are rated as following:
★★★★★  sacred
★★  obscene
★  secular
★  profound
  sacred religion
  vulgar

Your alternative for profane is not listed? Suggest!
Speaking about profane, one probably shouldn't forget about holy.

Other search terms related to profane and their ratings are:
★★★★★ holy
You have in mind a companion for profane and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of profane in all years. Click on graph for more.
profane
sacred
obscene