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In this manuscript, we consider a highly nonlinear and constrained stochasticPDEs modelling the dynamics of 2-dimensional nematic liquid crystals underrandom perturbation. This system of SPDEs is also known as the stochasticEricksen-Leslie equations (SELEs). We discuss the existence of local strongsolution to the stochastic Ericksen-Leslie equations. In particular, we studythe convergence the stochastic Ginzburg-Landau approximation of SELEs, andprove that the SELEs with initial data in $\sh^1\times \sh^2$ has at least amartingale, local solution which is strong in PDEs sense.

On strong solution to the 2D stochastic Ericksen-Leslie system: A Ginzburg-Landau approximation approach