Preheat oven to 325 F and line 9-inch round cake tin with parchment.
In small bowl or liquid measuring jug, add vinegar to almond milk and allow to stand for 20 minutes. In separate bowl, combine flours, baking soda, and salt, and set aside.
In bowl of stand mixer, combine on low speed applesauce, coconut sugar, olive oil, orange zest, thyme, and vanilla. Add almond milk mixture and mix to combine.
In medium-sized bowl, add cranberries and 1 Tbsp of flour mixture and mix through to coat cranberries with flour.
Add remaining flour mixture to wet ingredients, in three additions, stirring between each addition. Stir in cranberry-flour mixture until just combined. Pour batter into parchment-lined cake tin and bake for 50 minutes to 1 hour, or until inserted toothpick comes out clean. Allow cake to cool on wire rack for 10 minutes and then remove from tin to continue cooling. Enjoy a slice with a warm cup of tea.