Attempting to run the program gets the following error:
The procedure entry point _ZN5Tiled17FileSystemWatcher12filesChangedERK11QStringList could not be located in the dynamic link library (Current location of file)
This indicates that tiled.dll and tiled.exe are incompatible, which can happen due to a yet unknown problem with the Windows installer. You can fix it by uninstalling all versions of Tiled and then installing the version you want to use again. Sorry for the trouble!