Preheat oven to 350℉.
Weigh or lightly spoon flours into dry measuring cups; level with a knife.
Combine flours and next 3 ingredients (through salt) in a large bowl; stir with a whisk.
Melt butter in a small saucepan over low heat.
Remove from heat; add brown sugar, stirring until smooth.
Add sugar mixture to flour mixture; beat with a mixer at medium speed until well blended.
Add cherries, vanilla, and egg; beat until combined.
Fold in chocolate.
Drop dough by tablespoons 2 inches apart onto baking sheets coated with cooking spray.
Bake at 350°F for 12 minutes.
Cool on pans 3 minutes or until almost firm.
Remove cookies from pans; cool on wire racks.