Add the matcha, agave, peppermint extract, and hot water to a cup and carefully whisk together*. Add ice and milk and stir to combine. Top with coconut whipped cream and crushed candy canes. And enjoy!
This could be done with a hand whisker (see my TikTok video), or you could add all of the ingredients with the exception of the ice to a blender, blend to combine, then finish by pouring over ice.