The reliable computation of shell structures requires a tool to assess and control the quality of the finite element solution. For practical purposes, the quality of the numerical solution must be measured using a quantity of engineering interest rather than in the standard energy norm. however, the assessment of the error in an output of interest is based on a standard energy norm error estimator. The standard error estimator has to be applied quantity. In shells with assumed-strain models, the combination of primal and dual error estimation is performed differently than in the continuum mechanics case. Moreover, a part form the goal-oriented error estimator, the adaptive process requires a remeshing criterion. This work introduces a specific remeshing criterion for goal-oriented adaptivity and tis particularization to the context of shell elements.