the mind > attention and judgement > contempt > disrepute > infamy or notoriety > be or become infamous or notorious [verb (intransitive)] > avoid notoriety (2)
to hide one's head: (a) to protect one's head, to shelter oneself, take shelter; (b) to keep out of sight, keep from shame or discomfiture.
figurative; esp. of fame, a report, etc. to fly high (or a high pitch): to aim at or reach a high pitch of action, feeling, etc. (cf. flight, n.1 3)…