The ornamental design for a door latch handle, as shown and described.
FIG. 1 is a perspective view of a door latch handle showing my new design;
FIG. 2 is a side elevational view thereof;
FIG. 3 is a top plan view thereof;
FIG. 4 is a bottom plan view thereof; and,
FIG. 5 is a front elevational view thereof.
The broken lines immediately adjacent to the claimed areas with surface shading in the views represent the boundaries of the design. The other broken lines in figures illustrate the portions of the design that form no part of the claim. None of the broken lines form any part of the claimed design.