It was six years from the time in August 1939 that Einstein alerted FDR about the possibility of building atomic bombs with uranium, to the time a uranium bomb was detonated in August 1945. But the Manhattan Project to build that bomb only started in 1942. The first three years were spent in doing sparsely-funded research and in compiling a series of study committee reports. Scientists at the time and later complained about the “swimming in syrup” pace of that early work. What if the government managers (Lyman Briggs, Vannevar Bush) had pushed that preliminary study phase a bit faster? What if the effort to actually build the bomb had then been launched sooner?
How would our having the atom bomb even four or five months sooner have affected the Allied Victory and the postwar world?
While technically the project was greenlit in 1942, the origins of it are actually in fall of 1939 with the first studies to determine if it was feasible, so all you really need is FDR to be convinced by the Advisory Committee on Uranium in the fall of 1939 that not only is it possible but they should begin researching potential bomb applications ASAP. You could therefore have a theoretical startup by Spring of 1940. So if you go along the OTL development TL, you then get a bomb by late '43, or early '44 at latest, as long as you also get the same type of funding.
EDIT: Forgot to actually answer your question on impact, oops.
My take, is that if it is done before D-Day, they probably just build a stockpile up until they can get back into France, otherwise without air superiority they could not ensure a bomber could get through to drop it. That being said, as soon as they think they have a safe enough window to get to Berlin, that bad boy gets dropped. They didn't target Tokyo because the Emperor was deemed necessary to ensure the peace and didn't want to kill him in the blast but thats not an issue in Germany. Once that bomb is dropped, you get a push for peace from remaining soldiers and all efforts, you have a far different cold war borders, assuming it still comes to that.
The interesting domino to fall would be Japan. The USSR did not agree to attack Japan until Yalta in 1945. If you knock Germany out a year early, you now have the entire weight of US/UK/French forces coming down on Japan. I could actually see the Allies telling Stalin his help isnt needed, not wanting communist influence to spread. Imagine the US / UK fleets now so throughly destroying Japan by mid-1944 that the Philippines are taken that much sooner with all the US war effort on that. you probably get an invasion of Formosa in this new TL as well to truly cut off Japan from DEI. Then once the US is close enough to US B 29s, the stockpile of A-bombs starts dropping on any and all military targets they could find. That might get a Japanese surrender by spring of 1945.