OK, now to come up with a logical answer, we have to have a logical situation.
Late 43 or early 44 the Germans are far from certain to be able to get a nuke into Moscow. Would have had to be a one way suicide mission due to bomber range and position of the front lines. They would not have had enough refined uranium to make nukes in large quantities, so an iffy mission like this would have been unlikely. What if the plane gets shot down before it gets to Moscow? German air superiority had greatly diminished by this time in the war in the east.
And early war nukes would not have had as dramatic an effect on Moscow as they did in Hiroshima. Moscow had many more solid stone and concrete buildings, and Moscow was much larger. Even if you got a nuke to Moscow, you would not necessarilly kill Stalin. But if you did take the gamble, got a nuke to Moscow, and killed Stalin, Hitler would not have taken a Russian surrender. Heck, he now had a super weapon!
Confident that he could keep the western powers bottled up in Italy, convinced that the Atlantic Wall was invincible, he would have used his nukes to continue the fight into Russia for complete conquest. But Russia by now had a lot of her factories behind the Urals, so they would be far from out even if they had a leadership vacuum.
But it would likely have allowed Hitler time to conquer the Russian Oil fields, may have swayed Turkey into siding with the Nazis as the likely winner, and opened up the path to Egypt.
English surrender in the face of Nuclear Nazis would be FAR from certain. After all, we did more damage to Dresden with firebombs than we did to Hiroshima and Germany didn’t immediately surrender. Nukes only forced Japan to surrender because they had essentially already lost the war at that point.
I think that if the Germans had gotten nukes in 43/44, the deciding factor would have been how much Uranium they had. If they could have afforded to use the nukes tactically, they could have defeated Russia and forced an English truce.
Germany would likely have been able to convince war weary Fascist Spain to join them, and Gibraltar would have fallen.
Italy was already surrendered, so I think that if Britain gave a truce, Germany would have let England keep Egypt. Too tired to extrapolate into 1950 or beyond.
Buuuut… I do not think that Germany had access to enough uranium to use nukes tactically, and I do not think that strategic terror would have forced out Russia or the UK. Russia lost 26 million people. A couple hundred thousand more wouldn’t have broken their spirit.