I agree, avoiding someone is a bad way to end a friendship. She probably doesn't realize what she's doing that is annoying- if you kindly point it out, you might help her in making other friends so she's not so dependent on you. Even if she doesn't change, it is still better to hear a direct kind "You're taking up too much of my time/energy, you make me uncomfortable sometimes by doing X Y Z, and I'd rather we don't spend so much time together or talk so often" rather than silent rejection.
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