Idk, I don't watch Doctor Who, so I don't know if The Doctor even cares to look the period when he time travels.
Never! He's always sporting his snappy suit and bowtie/converse/glasses/whatever accessory that particular Regeneration prefers.
Which just goes to show how important this is!
Come on, community! You have shown to be capable of way more impressive feats, so surely a 3-piece-suit isn't beyond your ability! What's stopping you?!
(Remember: fighting Dragons in a business suit! It's been done in God of War, why not in Skyrim?)