From Longman Dictionary of Contemporary Englishcredibility gapcredibility gapUNTRUEthe difference between what someone says and what they do a credibility gap between the government’s promises and their achievements → credibility
Examples from the Corpus
credibility gap• Inaccurate though this perception may be, it creates a credibility gap which Peavey must yet cross.• A poor attendance record leads to a credibility gap with superiors. 2.• Why Clinton administration officials have opened such a yawning credibility gap is hard to say. 