If trust is eroding, stop to stabilize the situation and then move forward. This may make you crazy, but it is better than spinning your wheels in place.
Credibility is earned through an open, honest process which produces relevant results.
Without credibility, no one is going to take you seriously. People will not participate or they may attempt to sabotage your process. A process that follows the primary rules for success will build trust and acceptability for your actions. Involving others to find answers . Being willing to consider all questions .