credibility

noun

1. (countable, uncountable)A reputation impacting one's ability to be believed.

   “After weeks of blowing smoke, her credibility with me was next to nil.”

   “The inability of Trump's own spokespeople to speak authoritatively on the president's thinking and actions -- a challenge even Trump himself has acknowledged -- has left the White House with an enormous credibility gap, and has tarnished the reputations of many of its most visible spokespeople.”

   “The 'partygate' controversy has played a major part in undermining the credibility of Boris Johnson and his Government and has led to calls from senior MPs for him to resign.”

2. (countable, uncountable)A believability of statements by a witness, as measured by whether the testimony is probable or improbable when judged by common experience.