The reliable computation of shell structures requires a tool to assess and control thequality of the finite element solution. For practical purposes, the quality of the numerical solutionmust be measured using a quantity of engineering interest rather than in the standard energynorm. However, the assessment of the error in an output of interest is based on a standardenergy norm error estimator. The standard error estimator has to be applied to both the originalproblem (primal) and a dual problem related with the selected engineering quantity. In shellswith assumed-strain models, the combination of primal and dual error estimation is performeddifferently than in the continuum mechanics case. Moreover, a part from the goal-oriented errorestimator, the adaptive process requires a remeshing criterion. This work introduces an specificremeshing criterion for goal-oriented adaptivity and its particularization to the context of shellelements