[Claud]

You’re probably right.

How will the next archbishop be given the post? Are they appointed by the crown, or is there some kind of conclave/election?

[Cronos]

As I understand from my deep study of "Yes Prime Minister" ;-P, the "Crown Nominations Commission" selects the top 2 candidates. Then the Prime minister picks the candidate.

It's a committee appointment with all the evils that brings

[BenKenobi]

“How will the next archbishop be given the post? Are they appointed by the crown, or is there some kind of conclave/election?”

The crown appoints someone on the advice of the prime minister and the committee. Should be interesting with the Conservatives in power who they select. Thatcher chose Carey, who was unable to stop the slide at Lambeth in 1998, with the women priests.

At least we should be thankful that Charles is not making the selection.