suitability,
suitableness the quality of having the properties that are right for a specific purpose; "an important requirement is suitability for long trips"
quality an essential and distinguishing attribute of something or someone; "the quality of mercy is not strained"--Shakespeare
inappropriateness,
unworthiness the quality of being not particularly suitable or befitting; "he retracted nothing that he had said about the inappropriateness of either a corporeal God or a God who is a person"; "his praise released from her loud protestations of her unworthiness"
unfitness the quality of not being suitable; "the judges agreed on his unfitness for the appointment"