The Church and when I use Church I mean Roman Catholic and Orthodox Churches, have a hierarchy and a system for change. In both cases they require a synod of bishops. In the case of the Orthodox Church it requires an Ecumenical Council, that is a gathering of all the words bishops. The Church can change procedure and it has from time to time, but things like clergy celibacy and ordination of women are not procedures but doctrine and these are harder to change.
It has been my experience that Churches who are wishy washy or try to be politically correct run into all sorts of problems. Just look at what is happening to the Episcopal Church here in the United States. I am not saying they are wrong, just that when you let people do whatever they want and believe whatever they want there is a cost associated with that.
The Church is not a democracy. It never has been. Yes there was a time when bishops in the Roman Church were elected, and bishops in the Orthodox Church are elected, at least for the time being, but theology is not subject to opinion polls. The truth is the truth and that is absolute. The truth was the same yesterday as it is today. The truth can never change. The way we speak about the truth can change, but the truth cannot.