The speaker begins by saying what they don't want. It isn't money, fame, or power, the things most people chase. The repeated "The longing within me is not for..." sets up a list of ordinary ambitions, and then dismisses them all. What the speaker wants is a person: their smile, their laugh, their touch, their kiss, their attention.
Then the poem turns darker. The longing stops being sweet and becomes something that eats the speaker "from the inside." The image of a monster with green eyes and yellow teeth suggests jealousy or sickness, something ugly growing where the speaker's own self used to be. The final lines are bleak: the speaker fears being left as an "empty husk," a void that can only long. The mood moves from tender and simple to desperate and haunted, showing how love that goes unanswered can feel less like a gift and more like being slowly consumed.