From Longman Dictionary of Contemporary Englishhold up your headhold up your head (also hold your head high) to show pride or confidence, especially in a difficult situation If you do this, you’ll never be able to hold your head up again. → head
Examples from the Corpus
hold up your head• He had held up his head in the most exalted company.• How does he hold up his head if he knows his wife is deceiving him? 