FIG. 1 is a perspective view of a connector for a faucet mounted water filter illustrating my new design;

FIG. 2 is a left side elevational view thereof, the right, front, and back side elevational views are an identical image of FIG. 2;

FIG. 3 is a top planar view thereof; and,

FIG. 4 is a bottom planar view thereof.

The broken lines form no part of the claimed design.