Scenario:
Eddie Brock gets captured by the Kingpin (or if you want somebody cosmic, let's go with Ronan the Accuser or Carnage during the events of Absolute Carnage) but the Venom symbiote manages to escape and lo and behold, finds the Doctor in her 13th incarnation and her companions and latches onto the Doctor "for a ride" until they rescue Brock.

Basically, how well would the Doctor and the Venom symbiote get along with each other? Or at least what incidents could happen to them and how their ideologies oppose each other.

As for which version of the Venom symbiote, let's go with either 616 and the Sonyverse.