Pope Francis (L) with Guido Marini.
The signs are all there - a general feeling of bewilderment, as if the Holy Father is unaware what forces he has unleashed, together with an air of total chaos as nobody really knows what direction the Church is heading in. Pope Francis's aim is not to judge anyone (except when he chooses to, of course) and the state of play in the fight between good and evil is generally uncertain.
Pope Francis has an ecumenical meeting with a Buddhist from Kandy.
Contrast this with the more rigorous, formal, regime of Pope Benedict XVI. Here of course the Doctoral model was William Hartnell, a thoroughly orthodox but much stricter character, who wouldn't suffer fools gladly.
Pope Benedict gets tough with a renegade monk.
Pope Benedict made great use of his Tardis to visit earlier times: one famous story in which he was involved was Summorum Pontificum, set in Rome. Here, the language of Latin was used throughout (although when shown on television it was dubbed into English).
Pope Benedict explain the use of Latin in the story Summorum Pontificum.
Before the Pope regenerated into Benedict XVI, the role was played by John-Paul II, who may be seen as a Patrick Troughton figure: saintly, but sometimes prepared to clown around. Still, a good man to follow when fighting Cybermen, Yeti, Communists, etc.
Pope John-Paul II working on his latest encyclical.
Pope John-Paul II was known for visiting many far-flung parts of the Universe (he would usually kiss the ground on the planet when his Tardis landed). As a result he met a plethora of exotic creatures, many of which seem to be immortal.
A meeting with Cormac Murphy-O'Connor.
However, the Sylvester McCoy model is definitely prevailing in the Catholic Church right now. So, what shall we see next? A female Pope is as unthinkable as a female Doctor, even though his arch-enemy managed to regenerate into a woman (the Mistress Beattie). Moreover, we are unlikely to see a Pope along the lines of ultra-liberal modernists such as Tennant or Capaldi. We may end up with a Colin Baker - some cardinals really have no taste in vestments - but a calm, sophisticated pope with fantastic hair is expected next time round.
Br Pertwee (R) - the next Pope?