In a large bowl, mix together the apples, lime juice, coconut oil, and cinnamon.
In a medium saucepan, stir together the coconut palm sugar and water. Heat mixture over medium heat until the sugar dissolves.
Mix in the coconut milk, and simmer for 10 minutes, stirring constantly.
Remove from heat, and pour caramel over the apples. Toss apples until they are fully coated in with the sauce. Set aside.
Mix all ingredients together using your hands. Mixture will be crumbly.
To assembly Apple Pie:
Preheat oven to 400°F.
Spoon apple filling over the chilled crust, then distribute the streusel over the apples.
Bake pie for 10 minutes at 400°F.
Reduce temperature to 325°F, and cover pie with aluminum foil. Bake for another 40 minutes or until the apples are tender.
Cool pie completely on a wire rack. Serve warm or at room temperature.
Using tart Granny Smith apples works well with this recipe because the caramel is very sweet. Also using a mixture of different types of apples adds to the texture of your pie; some stay firm, and some soften while baking.You can also bake the crust for about 9 minutes prior to adding the apple filling.