Hopefully they will choose someone who is faithful to traditional Christian values.
Rowan Williams was chosen by Tony Blair because he was pro-gay, and one of his first acts was to appoint a gay bishop. But that backfired, the bishop resigned under pressure, and Rown Williams evidently decided that it was too soon to push his preferences on the C of E.
The Archbishop of Canterbury is traditionally appointed by the Queen. But these days, the Queen normally agrees to whatever the Prime Minister requests her to do.
As mentioned in the article, although the current Prime Minister is nominally a Conservative, he is in fact eager to impose gay marriage on the country.
Hopefully, he will be cautious and appoint a compromising time-server rather than a flaming heretic to the position. But he may just go ahead and appoint another pro-gay Archbishop.
The Queen would be very unhappy with that. But if she refused to agree, the current institution of limited monarchy would itself be threatened. Tony Blair gutted the House of Lords for the similar offense of resisting his will.
We all have to choose. God or the abyss.