Preheat the oven to 180°C (350°F) and line a baking sheet with parchment paper.
Add the flour, sugar, baking powder, arrowroot, vanilla, and salt to the bowl of a food processor. Blend to combine, and then add the coconut oil. Pulse until the coconut oil is cut into small pieces and the mixture looks slightly sandy.
Move the flour mixture into a mixing bowl. Add the coconut milk, elderflower blossoms, and lemon zest. Stir with a wooden spoon until just combined. The dough will be a little wetter than scone dough usually is, but that's normal.
Take the dough out of the bowl and use your hands to form a rough ball, then place it on the prepared baking sheet. Press down with your hands to make a circle of dough that's about 5cm high. Use a light hand to keep the coconut oil from melting.
Bake for 30-35 minutes, or until golden in colour. Let the scone cool on the baking sheet for 15 minutes before gently placing it on a rack to cool completely. It will be delicate while it's still warm.
Once it's cool, cut it in half with a serrated knife. Use about half of the whipped cream and 1 cup of strawberries as filling in the centre, and sprinkle some more elderflower blossoms over it. Place the other half of the scone on top and then add the remaining cream and strawberries. Top with extra blossoms, and serve right away.