Combine the sugar, salt, chile, and cinnamon on a small plate. Rub rim of an old-fashioned or rocks glass with lime half; dip in spice mixture. Fill with ice and set aside.
Combine 1½ oz. of Patrón Reposado Tequila, lime juice, blood orange juice, vanilla extract, and agave nectar in a cocktail shaker. Fill shaker with ice, cover, and shake vigorously for about 20 seconds.
Strain margarita through a strainer or a mesh sieve into reserved glass. Garnish with cinnamon stick, star anise pod, and/or blood orange slice.
