  We implement a Laplace method for the renormalised solution to the
generalised 2D Parabolic Anderson Model (gPAM) driven by a small spatial white
noise. Our work rests upon Hairer's theory of regularity structures which
allows to generalise classical ideas of Azencott and Ben Arous on path space as
well as Aida and Inahama and Kawabi on rough path space to the space of models.
The technical cornerstone of our argument is a Taylor expansion of the solution
in the noise intensity parameter: We prove precise bounds for its terms and the
remainder and use them to estimate asymptotically irrevelant terms to arbitrary
order. While most of our arguments are not specific to gPAM, we also outline
how to adapt those that are.
