Gather all your ingredients and measure them out. This will make the cooking process smooth and enjoyable.
In a mixing bowl, whisk together the egg yolk and maple syrup until well combined. This mixture should be creamy and smooth.
In a medium saucepan over medium heat, pour in the full-fat coconut milk. Stir occasionally until it begins to simmer, but do not let it boil.
Once the coconut milk is simmering, gradually whisk in the tapioca flour until it dissolves completely. This will help thicken the pudding.
To avoid scrambling the egg yolk, slowly add a small amount of the hot coconut milk to the egg yolk mixture, whisking continuously to temper.
Pour the tempered egg mixture back into the saucepan with the remaining coconut milk. Continuously whisk over medium heat until it thickens, about 3-5 minutes.
Once thickened, remove the saucepan from the heat and stir in the pure vanilla extract.
Pour the pudding into serving dishes and allow it to cool at room temperature briefly, then refrigerate for at least 2 hours to set. Enjoy chilled!