Hmmmm, how to respond?
I don't think trust is really something to "win" - either you are a trustworthy person or you are not. If you want trust, just BE trustworthy!
Whether another person can see your character or not is up to them and not you, but if you are honorable then it is dishonorable of them not to honor your honor ;)
Unfortunately there are plenty of people in the world perfectly fine with being dishonorable.
Blessings to you!