  We study the interplay between nematic order and superconductivity, motivated
by a recent experiment on FeSe observing strongly distorted vortex shapes (Song
et al., Science 332, 1410 (2011)). We show that the nematic order strongly
enhances the anisotropy in the superconducting coherence length, beyond that
expected from considerations of the Ginzburg-Landau theory. We obtain universal
functions describing the coupling between the nematic order and
superconductivity, and discuss connections of our results to the experiments.
