For how long does it consider a wine slushy to freeze?

Assuming you imply in a standard cooking area freezer:

It will take around 2 hours for your white wine slushy to freeze strong. However, if you want it to be the perfect consistency, we recommend examining it every 45 minutes approximately to give it a stir.  https://thumbpower.org/?p=945 This will assist to avoid big ice crystals from messing up the smooth and forming, slushy texture.