  We study a quasi-2D classical Landau-Ginzburg-Wilson effective field theory
in the presence of quenched disorder in which incommensurate charge-density
wave and superconducting orders are intertwined. The disorder precludes
long-range charge-density wave order, but not superconducting or nematic order.
We select three representative sets of input parameters and compute the
corresponding charge-density wave structure factors using both large-$N$
techniques and classical Monte Carlo simulations. Where nematicity and
superconductivity coexist at low temperature, the peak height of the
charge-density wave structure factor decreases monotonically as a function of
increasing temperature, unlike what is seen in X-ray experiments on
YBa$_2$Cu$_3$O$_{6+x}$. Conversely, where the thermal evolution of the
charge-density wave structure factor qualitatively agrees with experiments, the
nematic correlation length, computed to one-loop order, is shorter than the
charge-density wave correlation length.
