Not liable to any exception or objection; unobjectionable; faultless; good; excellent; as, a man of most unexceptionable character
If you describe someone or something as unexceptionable, you mean that they are unlikely to be criticized or objected to, but are not new or exciting, and may have some hidden bad qualities. The candidate was quite unexceptionable, a well-known travel writer and TV personality The school's unexceptionable purpose is to involve parents more closely in the education of their children