This word is acceptable for play in the UK dictionary that is being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. The state or quality of being untrusty.

n. The character of being untrusty; unfaithfulness in the discharge of a trust.

n. the trait of not deserving trust or confidence

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trait   

irresponsibility    irresponsibleness