trustfulness,
trustingness,
trust the trait of believing in the honesty and reliability of others; "the experience destroyed his trust and personal dignity"
trait a distinguishing feature of your personal nature
Distrust is a formal way of not trusting any one party too much in a situation of grave risk or deep doubt. It is commonly expressed in civics as a division or balance of powers, or in politics as means of validating treaty terms. Systems based on distrust simply divide the responsibility so that checks and balances can operate.
OmegaWiki Dictionary
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distrust Lack of trust, suspicious and cautious attitude.