Get your big knife out and chop the cabbage in half. Trim out the core and discard. Turn the half cabbage over onto flat side and cut into 2-3 wedges. Shave each wedge to create cabbage ribbons.
Dice up the onions and apples. Sautee over medium heat in an extra large fry pan or even a heavy wok with a lid (as I did). Cook until onions become translucent and slightly soft.
Add cabbage to pan and turn to combine. Add red wine vinegar, orange juice, honey, pepper and salt. Adjust heat to low and cover to braise for 20 minutes. Stir occasionally.
Once soft, but not moooshy, remove from heat. If enjoying warm, add to plate and top with goat cheese. For a cool version, store in tupperware and chill for a few hours. I would hold the goat cheese until plating too.