From Longman Dictionary of Contemporary Englishoutfaceout‧face /aʊtˈfeɪs/ verb [transitive] formal DEAL WITHto deal bravely with a difficult situation or opponent→ See Verb table
Examples from the Corpus
outface• Even though most of his vassals might disagree with his policies, it would demand brave men indeed actually to outface him.• She braced herself to outface him.• For a time he adopted a Stoical attitude to outface suffering, but this only brought on middle age prematurely.• His unquiet personality could not outface the somnolent arrogance of the greatest city in the world. 