The ornamental design for a Christmas tree carrier bag, as shown and described.
FIG. 1 is a right-side elevation view of the Christmas tree carrier bag;
FIG. 2 is a left-side elevation view thereof;
FIG. 3 is a perspective view thereof; and,
FIG. 4 is a perspective view thereof, showing the draw string pulled tight to secure the bottom of the bag about the lower trunk of the Christmas Tree.
The broken line showing of the Christmas tree is for illustrative purposes only and forms no part of the claimed design.