  We have found a (classical) competition between duality and gauge symmetries
when trying to obtain an explicit dual to the non-nonabelian version of the
self-dual model proposed by Townsend, Pilch and van Nieuwenhuizen\cite{TPvN}
(NASD) either through gauge embedding procedures or gauge invariant master
approach. We found that the theory dual to NASD {\it is not} the
Yang-Mills-Chern-Simons model. We then proved that a model gauge invariant and
dual equivalent to NASD cannot be achieved because of this conflict. Other
nonabelian self-dual formulation proposed in \cite{KLRvN} was studied and its
dual obtained. We discuss the consequences of the dual equivalence found here
in the context of 3D non-abelian bosonization.
