What do you make of people that demand trust?

(By the way this is a work situation. )

When someone makes a stand that they “deserve” trust, with no consideration to how their actions may have affected your trust of them, would that in and of itself make you question their trust worthiness?

They insists that they gave their word that they are trustworthy therefore to not trust them is my issue.

I believe:
1) Trust is not just a given and has to be earned.
2) The above rule applies even more stringent in a work environment.
3) The one wanting the trust, in most situations, should give heavy consideration to the opinions/interpretations of the one they want the trust from.