  This article deals with a stochastic control problem for certain fluids of
non-Newtonian type. More precisely, the state equation is given by the
two-dimensional stochastic second grade fluids perturbed by a multiplicative
white noise. The control acts through an external stochastic force and we
search for a control that minimizes a cost functional. We show that the
G\^ateaux derivative of the control to state map is a stochastic process being
the unique solution of the stochastic linearized state equation. The
well-posedness of the corresponding stochastic backward adjoint equation is
also established, allowing to derive the first order optimality condition.
