Until today the surname Thut/Thuet/Thudt knows 4 place of origin. 3 of them in Switzerland in Seengen (Canton Aargau), in Sempach (Canton Lucerne), in Kaltbrunn (Canton St. Gallen). One of them in Transylvania (today Romania), which goes back to the land of todays «Slowakia» and may be also back to the orgin of the land where the Saxons came from (Germany). It may be that some of the origins belong to other origins, but there is still no known evidence for that.
On the following picture you can see to 4 origins until todays Swiss home town and all the emigrated lines to the world.
On the following linked map you can see the origin places of Thut lines and especially also the lines where families landed when they emigrated.