By mid-war Turing is sent to America and then put to work on a secure telephone system called Delilah at another government site. No real hurry, no big resources. At first he's alone, then eventually he's assigned a (brilliant) student as a helper.
Meanwhile, at Bletchley, others are building the Colossus computer to crack another German cipher.
They are building what many credit as the first computer, and Turing will have influenced that heavily, but he's basically not leading that effort.
So from mid-war onwards it's basically Turing shut away in a shed where he won't distract people too much. It's almost like Turing was hard to work with!? :D