In terms of realism, this is utter nonsense!
So this incredibly good looking 'vicar' spends all his time being chased by beautiful women, listening to cool jazz music, drinking, witnessing/solving and being very much involved in frequent murders, in a faux 1950s setting where the characters aren't remotely convincing as examples of how people really were back then.
The couple of episodes I've seen are plenty to realise what a load of claptrap this is. I guess if you find it entertaining, go ahead, but why not do something original set in modern times BBC, Instead of murdering old books just to jump on this current band wagon of period dramas?