What are three reasons the establishment of the Church of England was religious rather than political?

The Church of England (Anglican/ Episcopal Church) is a Protestant Church/ 1 of the 1st Protestant Churches and was in fact made 1stly for religious reasons even though Henry VIII's reasons were politics/greed.

3 religious reasons are......

The Bible in English.

The Book of Common Prayer and it's 39 Articles.

Scripture (meaning the Gospels) as Authority, instead of past/historic Catholic Church rulings and rules on things.  

It was not religious. It was political Henry VIII wanted a divorce, and the pope refused to allow it. The king decided that he would start his own church where he could divorce his legal wife and marry his girlfriend. He also knew he would profit greatly if he was able to confiscate the Church properties in England and sell them off to his cronies. The king then set himself up as the authority, not the scriptures.

It was political.  I think that your "question" requires a rather large unsubstantiated premise that I don't share.

Protestants reject the Roman Catholic doctrine of papal supremacy and sacraments. They emphasize the priesthood of all believers; justification by faith alone (sola fide) rather than by good works; the teaching that salvation comes by divine grace or "unmerited favor" only, not as something merited (sola gratia); and affirm the Bible as being the sole highest authority (sola scriptura or scripture alone), rather than also with sacred tradition.

The King resisted the Protestant reforms  that some wanted, and remained Catholic in doctrine.  Of course, there was a break with the Pope mostly for political reasons, but the Church of England did not become Protestant mostly because of religious ones.  It became the "via media" or middle way between the two.

That's about the only one I can think of.