credibility
US /ˌkred.əˈbɪl.ə.t̬i/
UK /ˌkred.əˈbɪl.ə.t̬i/

1.
the quality of being trusted and believed in
:
•
The scandal severely damaged his political credibility.
•
The witness's testimony lacked credibility.
the quality of being trusted and believed in