  Motivated by recent measurements of strain effects on the transition
temperature (T$_c$) of Sr$_2$RuO$_4$, we study the strain response of a
two-dimensional chiral p-wave supercoductor. We focus on the effects of
inhomgeneous strain fields, which are always present in any such experiment,
and which have been neglected in previous theoretical treatments. We show that
the response of T$_c$ of a chiral superconductor to strain chages from being
linear without inhomogeneity, to quadratic in the presence of inhomogeneity. We
discuss our results in the context of the ongoing debate of superconductivity
in Sr$_2$RuO$_4$.
