Re: star trek temporal agents vs Timelords
I don't know the Doctor Who
universe at all, but as a long-time Trek fan, the Time Lords win because they've been doing this sort of thing much longer.
Also it appears there was a ship or pod found that was bigger on the inside in voyager..
On ENT, the NX discovers such a thing.
Dr. Howard, Dr. Fine, Dr. Howard: For duty and humanity!
--Men in Black (1934)