illegitimacy
noun
[ ɪlɪˈdʒɪtɪməsi ]
• the state of not being in accordance with accepted standards or rules; lack of authorization by the law.
• "she talks with anger about the illegitimacy of the election"
• the state of being born to parents not lawfully married to each other.
• "the citizens refuse to believe Buckingham's stories about the princes' illegitimacy"