Combine White Peach Syrup, vodka, orgeat and tea in a shaker filled with ice and shake vigorously until well chilled.
Strain into a highball glass filled with ice. Garnish with peach slices and a sprig of rosemary.
White Peach Syrup
Combine peach puree, sugar and lemon juice in a small saucepan and bring to a simmer. Reduce heat to low and cook, stirring constantly, until sugar dissolves. Remove from heat; once cooled, add vanilla extract.
Transfer to a resealable container and store in refrigerator for up to 2 weeks.