We study how monetary policy shapes the aggregate and distributional effects of an energy price shock. Based on the observed heterogeneity in consumption exposures to energy and household wealth, we build a quantitative small open-economy HANK model that matches salient features of the Euro Area data. Our model incorporates energy as both a consumption good for households with non-homothetic preferences as well as a factor input into production with input complementarities. Independently of policy energy price shocks always reduce aggregate consumption. Households with little wealth are more adversely affected through both a decline in labor income as well as negative direct price effects. Active policy responses raising rates in response to inflation amplifies aggregate outcomes through a reduction in aggregate demand, but speeds up the recovery by enabling households to rebuild wealth through higher returns on savings. However, low-wealth households are further adversely affected as they have little savings to rebuild wealth from and instead loose due to further declining labor income.