  In this article, we consider the two-dimensional stochastic Navier-Stokes
equation (SNSE) on a smooth bounded domain, driven by affine-linear
multiplicative white noise and with random initial conditions and Dirichlet
boundary conditions. The random initial condition is allowed to anticipate the
forcing noise. Our main objective is to prove the existence of a solution to
the SNSE under sufficient Malliavin regularity of the initial condition. To
this end we employ anticipating calculus techniques.
