redoubtable

adjectives

inspiring fear
"the formidable prospect of major surgery"; "a tougher and more redoubtable adversary than the heel-clicking, jackbooted fanatic"- G.H.Johnston; "something unnerving and prisonlike about high grey wall"
worthy of respect or honor
"born of a redoubtable family"
is similar to
having a good reputation
"a reputable business"; "a reputable scientist"; "a reputable wine"