Coconut Milk Note: Because coconut goes so well with lime and chocolate, Kim uses coconut milk yogurt, lite canned coconut milk in the donut and glaze, and even adds shredded coconut. If you don't want a coconut vibe, you can use a different dairy-free yogurt, milk alternative, and omit the coconut. If you are using milk alternative in the glaze, start with just ⅓ cup. Whisk in more (but warm it slightly before adding), as needed, if the glaze is too thick. If you only have full-fat canned coconut milk, go ahead and use it instead. Shake the can well, don't simply use the cream. If the glaze is too thick, you can thin it with a splash of warm water.
Chocolate-Free Option: If you want just dairy-free lime donuts or coconut lime donuts, substitute 2 cups powdered confectioners' sugar for the coconut milk and chocolate. Add up to 1 teaspoon of additional lime juice if the icing is too thick.