Combine lemon and orange juice and whisk confectioner's sugar into the juices. Whisk in vanilla extract and coconut milk.
If the glaze is to thick add coconut milk 1/2 a tablespoon at a time, if it is too thin add confectioner's sugar 1/2 a tablespoon at a time until it is a good thickness.
The glaze should be about the consistency of table syrup.
Once cake has cooled drizzle glaze over the cake as you desire. I garnished with extra shredded coconut and sliced kumquats.