If you will be making your gluhwein on the cooktop, use a large enough pot to eventually hold the wine. If you're using a crockpot, use a smaller saucepan for the first steps.
Add water and sweetener to a saucepan over medium heat and stir until dissolved.
Add all of the spices and orange, simmer for about five minutes to make a spiced syrup.
Combine syrup and wine on low in a crockpot or on the cooktop.
Gently simmer on low for 20 minutes. Don't let the mixture get too hot as this can cook off the alcohol.
Scoop into mugs to serve and garnish with orange slices, rosemary, orange curls and cranberries, if desired.