I have heard of other quilters being similarly shocked to have their work not appreciated, usually because the receiver has no idea of the time and work that went into a quilt.
I think you should have a talk to your "friend" about what I have just said. The quilt is a work of art made from your heart and worth very much in sentimentality to you and if she could put it in a place of honor including draped over a chair or the couch it would help you feel better. If she is truly your friend, she will take your words to heart.
Something that was suggested to me recently is to have the quilts you make appraised and then include the appraisal with the quilt if you give it as a gift.
Please don't sit a fume over this. She does not know your feelings unless you tell her. The only person suffering now in YOU!