So how should minority opinions be taken into account in a nations democracy.

If there was a national decision to choose X or Y but NOT both. And the majority chose X, does democracy disregard the minority that chose Y?

Ok another definite example. State religion. So if the nation with Christinity as its nation religion decides that every Sunday everyone must stay home and go to church, how about the minority that are not Christians and don't regard Sunday as a holiday but rather a work day. Must they comform with what the majority says?