IIRC, the US blew up several Axis warships in an atomic bomb test. I suspect this would happen to the Tirpitz too...
It will depend on what condition
Tirpitz is in at war's end. The UK inflicted varying amounts of damage to her during their several attacks. IIRC, one of the main battery turrets couldn't rotate after damage from one attack and their were no cranes in Norway capable of fixing the problem. By late 1944 the Germans had given up on attempts to fully repair the ship. Instead they kept her working just enough to use as a floating artillery platform and as a "distraction" for the UK.
If
Tirpitz is still afloat in May of '45, she's going to go to either the UK or US for technical evaluation prior to being scrapped or expended as a target. The USSR isn't going to want a floating battery and can't repair her without substantial effort. That's why the Soviets took Italian ships instead, they were operational vessels thanks to the circumstance of Italy's surrender in '43. As for minor powers receiving the ship, other posters have already pointed out how asinine that suggestion is.
Prinz Eugen's postwar career should illustrate any possible postwar career for
Tirpitz. The cruiser was first seized in Denmark by the UK and turned over to the US as a war prize in late '45. She steamed across the Atlantic in early '46, went through an extensive technical evaluation, and by mid-46 is relegated as a target in Operation
Crossroads. She's towed from the US east coast to Bikini, nuked twice, and contaminated so severely that she cannot be repaired. She slowly foundered over several months finally sinking in late '46.
The most probable postwar careers of a surviving
Tirpitz are, first, scrapping and, a distant second, expended as a test subject.
Eugen was is good repair, unlike
Tirpitz, and was worth steaming to the US and towing to Bikini. The other Axis target ships, the IJN's
Nagato and
Sakawa, barely made it to Bikini at all. They started off steaming to the atoll, but both broke down and had to be towed.
Nagato was in especially poor condition and could have easily foundered if she'd broke down further from the test site.