Coat a 9"-inch bundt pan with cooking spray and sprinkle with a bit of sugar.
In a medium bowl combine, flour, baking powder, salt, and baking soda.
In the bowl of a stand mixer cream the butter, once fluffy add sugar. Then add the lime juice mix and eggs, stir until combined.
Add flour mixture and coconut milk a little at a time alternating between the two until the batter comes together.
Pour into prepared cake pan and place in oven for 45 minutes or until toothpick inserted comes out clean. Remove from oven and allow to cool.
Before serving, prepare glaze by mixing lime juice and powdered sugar. You can add some extra lime zest here if you like. Mix until you achieve the right consistency to drizzle over the cake and serve.