FIG. 1 is a drawing showing a perspective view taken from the front, right side and top illustrating our new design of a stain removing appliance; FIG. 2 is a top plan view thereof; FIG. 3 is a right side elevation view thereof; FIG. 4 is a bottom plan view thereof; FIG. 5 is a left side elevation view thereof; FIG. 6 is a front elevation view thereof; and, FIG. 7 is a rear elevation view thereof.