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Noun: unapproachability  ,ún-u,prow-chu'bi-lu-tee
  1. A disposition to be unapproachable; unfriendly and inaccessible
    "The professor's unapproachability discouraged students from seeking help"

Derived forms: unapproachabilities

Type of: aloofness, remoteness, standoffishness, withdrawnness

Antonym: accessibility