The ornamental design for a golfputterhead with self-adjusting face, as shown and described.
FIG. 1 is a perspective view of a golf putter head with self-adjusting face embodying my design;
FIG. 2 is a front view of the golf putter head with self-adjusting face;
FIG. 3 is a rear view of the golf putter head with self-adjusting face;
FIG. 4 is a right side view of the golf putter head with self-adjusting face;
FIG. 5 is a left side view of the golf putter head with self-adjusting face;
FIG. 6 is a top view of the golf putter head with self-adjusting face; and,
FIG. 7 is a bottom view of the golf putter head with self-adjusting face.
The components shown in broken lines in FIGS. 1 through 5 illustrate the environment in which the claimed design is used. The broken lines shown in FIGS. 1 through 5 show a golf putter shaft for mounting the golf putter head with self-adjusting face. None of the broken-line matter forms a part of the claimed design.