The length of time does it consider a wine slushy to freeze?

Assuming you indicate in a basic kitchen freezer:

It will take around 2 hours for your white wine slushy to freeze solid. If you want it to be the ideal consistency, we recommend inspecting it every 45 minutes or so to give it a stir.  https://bikramyogauk.net/?p=799 This will help to prevent big ice crystals from destroying the smooth and forming, slushy texture. Full Report