FIG. 1 is a front prospective view of a hair dryer with touch sensitive control screen showing my new design; FIG. 2 is a top plan view thereof; FIG. 3 is a bottom plan view thereof ; FIG. 4 is a left side elevation view thereof; FIG. 5 is a right side elevation view thereof; FIG. 6 is an elevation view of the rear end of the hair dryer with touch sensitive control screen; and, FIG. 7 is an elevation view of the front end of the hair dryer with touch sensitive control screen.