Gently twist each Nutter Butter cookie to separate the halves. Dip one end of a candy stick (about 1-1.5 inches) into melted white chocolate and press it into the peanut butter filling. Place the other half on top and press together. Let stand 10 minutes to set.
Melt white candy melts in a microwave-safe bowl at 50% power for 1 minute. Stir, then continue heating in 30-second intervals until smooth.
Using a spoon, scoop white chocolate over the lower half of the cookie to create Santa's beard. Place on parchment paper.
While wet, press a red candy into the beard for the nose. Use a dab of white chocolate to attach two candy eyeballs above the beard. Let stand 5 minutes.
Melt red candy melts in a clean bowl at 50% power for 1 minute. Stir, then continue heating in 30-second intervals until smooth.
Dip just the top of the cookie (above the eyes) into the red candy melts for Santa's hat. Place on parchment paper.
Immediately add white snowflake sprinkles along the hat edge for the trim and pom pom. Let stand 10 minutes to fully set.