I claim the ornamental design for a phial retainer for liquid medicine mixer, as shown and described.
FIG. 1 is a top and front perspective view of a phial retainer for liquid medicine mixer of the present invention;
FIG. 2 is a front view thereof;
FIG. 3 is a rear view thereof;
FIG. 4 is a first side view thereof;
FIG. 5 is a second side view thereof;
FIG. 6 is a top view thereof; and,
FIG. 7 is a bottom view thereof.
The broken lines shown represent unclaimed subject matter and form no part of the claimed design. Additionally, the unevenly broken lines in FIG. 1 define the limits of the claimed design.