Kotake Shrine is a sacred place where spiritual souls meet to pray. You can do the same, or respectfully observe others in worship.
You're spoiled for sightseeing choice when staying in Himeji. Kotake Shrine is a good place to kick off here, but there are plenty of other worthwhile places to visit. Himeji Central Park, Himeji Castle, and Taiyo Park are not far from the sacred place and will top off your day nicely.