FIG. 1 is a perspective view of a hair dryer holder showing my new design;

FIG. 2 is a front elevational view thereof;

FIG. 3 is a rear view thereof;

FIG. 4 is a side elevational view thereof;

FIG. 5 is a side elevational view taken from the opposite side as FIG. 4;

FIG. 6 is a top plan view thereof; and

FIG. 7 is a bottom view thereof.

The broken line representing the hair dryer in FIG. 2 is for illustrative purposes only and forms no part of the claimed design.