I'm afraid you're simply misinformed on that point. Firstly, the Monarch has no power to direct Parliament to do anything (a Civil War was fought to establish that point nearly four centuries ago.) Parliament is sovereign. Secondly, the title has not been changed. I can only think you're referring to some other Commonwealth coountries such as Australia which recognise the Queen as Head of State, but with a differently-styled title. In the UK she is still
"Elizabeth the Second, by the Grace of God, of the United Kingdom of Great Britain and Northern Ireland and of Her other Realms and Territories Queen, Head of the Commonwealth, Defender of the Faith".
No one in proximate line of succession to the throne nor Prime Minister may be Catholic.
To take those one at a time:
There is no legal impediment to a Catholic becoming Prime Minister. (There are practical difficulties, such as the PM's role in advising on CofE matters etc - which is why Blair didn't formally convert until after leaving office - but there's no legal or constitutional impediment.)
On the monarchy itself, you are indeed right, and this is an anachronism: but, again, not one which the Queen herself has the power to change.Only Parliament can do that, by amending or replacing the Act of Setrtlement.
Yes, he participated in pagan worship for a mere, minor honor from a “Welsh cultural organization.”
It's a gross distortion to describe the Gorsedd as 'pagan worship'. Silly, yes, faux-antique, yes, but 'pagan worship' - no.
>> Firstly, the Monarch has no power to direct Parliament to do anything <<
When the Sovereign expresses an opinion (which she is gravely loathe to do), it has great political sway. In fact, there is no legal position as “Prime Minister” at all. Rather, the Prime Minister is nothing other than the person whom the sovereign wishes to represent her in Parliament.
>> There is no legal impediment to a Catholic becoming Prime Minister. <<
I cited the very law which proves you don’t know what the hell you are talking about.
SUCCESSION TO THE CROWN ACT OF 2013.
“A person is not disqualified from succeeding to the Crown or from possessing it as a result of marrying a person of the Roman Catholic faith.”
AMENDS ACT OF SETTLEMENT OF 1703:
“ that all and every person and persons that then were, or afterwards should be reconciled to, or shall hold communion with the see or Church of Rome, or should profess the popish religion, or marry a papist, should be excluded, and are by that Act made for ever incapable to inherit, possess, or enjoy the Crown and government of this realm, and Ireland, and the dominions thereunto belonging, or any part of the same, or to have, use, or exercise any regal power, authority, or jurisdiction within the same: and in all and every such case and cases the people of these realms shall be and are thereby absolved of their allegiance: and that the said Crown and government shall from time to time descend to and be enjoyed by such person or persons, being Protestants, as should have inherited and enjoyed the same, in case the said person or persons, so reconciled, holding communion, professing or marrying, as aforesaid, were naturally dead.”
Lest you think some intervening Act gave rights to Catholics:
“The Bill of Rights 1689 and the Act of Settlement 1701, restrict succession to the throne to the legitimate Protestant descendants of Sophia of Hanover that are in ‘communion with the Church of England.’ [1] Spouses of Roman Catholics were disqualified from 1689 until the law was amended in 2015. Protestant descendants of those excluded for being Roman Catholics are eligible”
“It’s a gross distortion to describe the Gorsedd as ‘pagan worship’. Silly, yes, faux-antique, yes, but ‘pagan worship’ - no.”
That a clergyman would participate in a ceremony designed to appear pagan, and dedicated, even in jest, to demon-gods is outrageous. It declares to the world, “Fear of the worship of demon-gods is ridiculous! Look at me, a Christian priest: even I join in such pagan rites!”