Regardless of it's background/origin, I like the name 'TARDIS Index File'. It shows originality in the naming of the wiki. Compare to Memory Alpha (which ironically in this case, is named after something in-universe).
Calling the wiki 'TARDIS Wiki' makes little sense in my opinion. Is it a wiki about TARDISes? If one were to change the title to include 'wiki', it would in my opinion need to be 'Doctor Who Wiki' - which is rather boring and generic.
On a separate note, what about the international versions? What are they called at the moment?