FIG. 1 is a front perspective view of an intimate apparel hanger showing my new design; FIG. 2 is a front view thereof; FIG. 3 is a rear view thereof; FIG. 4 is a side view thereof; FIG. 5 is an opposite view thereof; FIG. 6 is a top view thereof; FIG. 7 is a bottom view thereof; and, FIG. 8 is an enlarged cross sectional view thereof, taken along line 8—8 of FIG. 2.