I claim the ornamental design for a feminine product disposal device, as shown and described.
FIG. 1 is a front view of the feminine product disposal device showing my new design;
FIG. 2 is a top view thereof;
FIG. 3 is a right side view thereof;
FIG. 4 is a left side view thereof; and,
FIG. 5 is a rear view thereof.
The broken line showing of portions of the feminine product disposal device is included for the purpose of illustrating environmental structure and forms no part of the claimed design.