Preheat oven to 350 degrees and line a large baking sheet with parchment paper.
Place room temperature butter into a stand mixer along with the brown and granulated sugar. Beat to combine then add egg, rum, coconut extract and vanilla extract, beating to combine.
Add the flour, cinnamon, nutmeg pudding mix, baking soda, corn starch, salt. Continue mixing with the mixer until combined.
Fold in the coconut and white chocolate until just combined.
Scoop the cookies onto your prepared baking sheet and place them in the refrigerator to cool for 1 hour.
Bake in the oven for 15 minutes and transfer the cookies to a wire rack to cool.