Preheat oven to 400°.
Pulse cheddar cheese, flour, and butter in a food processor until dough is a coarse-meal texture and forms into a ball. Wrap in plastic wrap and refrigerate for 30 minutes.
Shape dough into 1 1/2-inch balls and place 1 inch apart on a baking sheet.
Bake for 5 minutes in oven. Remove from oven; press thumb into top of each ball, creating an indentation.
Spoon about 1 teaspoon of Green Tomato Strawberry Jalapeno Jam into indentation. Put back into oven and bake until edges are golden brown, approximately 5 minutes.