"Cold war" in the modern sense is unlikely. The Allies will never accept the continued existence of Nazi Germany. The resulting "peace" would be more akin to the current situation in Korea, but hotter; ground activities basically halted, but the states still being officially at war and naval and air skirmishes likely continuing. Further the "peace" won't last indefinitely; only long enough for either the Western Allies to build up enough that they feel comfortable enough to finish Nazi Germany off, or for Nazi Germany to do something to provoke the Allies. Both possibilities are equally likely, and far more so than the Allies simply giving up.
Well yes, a lull instead of a Cold War, I agree. Eventually the WAllies are going to come back but I imagined that things might be put on hold for a few years while Britain licks it wounds.