It's a matter of taste. I favour a magical realism approach, more or less what Chesterton summed up (long before the term was invented) as "I can believe the impossible, but not the improbable", going on to elaborate "Tell me that the great Mr Gladstone, in his last hours, was haunted by the ghost of Parnell, and I will be agnostic about it. But tell me that Mr Gladstone, when first presented to Queen Victoria, wore his hat in her drawing--room and slapped her on the back and offered her a cigar, and I am not agnostic at all. That is not impossible; it's only incredible."

So stuff about multiple Doctors flitting around various time zones is fine, but it's what happens in between I have a problem with. All that stuff with Queen Elizabeth for example...