The very first Doctor was an antihero rather than a hero. For most of the original 20-odd he was an explorer who would end up involved in battles of good against evil rather than someone who actively sought out evil to fight.
There was none of this ‘I bring hope wherever I go’ nonsense.
In a few of the Pertwee stories where he was exiled to Earth he’d have happily buggered off and left us to the Autons if he could have got the Tardis running.
When the White Guardian sent Tom Baker’s Doctor to collect the Key to Time and reset the balance of good and evil in the universe he had to blackmail him into doing it. Even with the fate of the universe in his hands he still skived off to do some fishing.