1) The Monarch is the Supreme Governor of the Church of England
2) Since 18th century, each new monarch has sworn an oath to uphold the Church of England as part of the ceremonies of accession and coronation: Act of Settlement (1700) s 2.
3) A number of Church of England Bishops are, ex officio, members of the House of Lords (the "upper chamber" of parliament)
4) The Crown Nominations Commission of the General Synod recommends to the PM suitable candidates to the posts of Archbishops and senior bishops. The Monarch takes the advice of the PM and does the formal appointment.
Secularism The complete separation of religion and state in the UK (disestablishment) is core campaign for secularists.
Suitable subject searches to use in SOLO:
Monarchy -- Great Britain
Constitutional aw -- Religious aspects -- Great Britain or England
Constitutional law -- Great Britain or England
of -- Establishment and disestablishment
Religion means any religion and a reference to religion includes a reference to a lack of religion. Belief means any religious or philosophical belief and a reference to belief includes a reference to a lack of belief. In relation to the protected characteristic of religion or belief a reference to a person who has a particular protected characteristic is a reference to a person of a particular religion or belief; and a reference to persons who share a protected characteristic is a reference to persons who are of the same religion or belief.
Religious discrimination -- Law and legislation
Religion in the workplace Law and legislation
Equality -- Religious aspects