Although fungi are broadly infected with mycoviruses, the antiviral mechanisms fungal cells use to oppose viral replication are not well understood. Here we discover a new mitochondrially controlled signaling mechanism in the budding yeast Saccharomyces cerevisiae that limits replication of L-A, an RNA mycovirus that endemically infects this organism. We show that Por1, the mitochondrial voltage dependent anion channel, prevents hyper-replication of L-A in stationary phase cells that have exhausted media nutrients. By investigating known stationary phase regulators, we find that deletion of the AMP-activated Kinase homolog SNF1 reverses hyper-replication of L-A observed in por1Δ cells. This epistatic relationship suggests that Por1 negatively regulates Snf1 in stationary phase cells and derepressed Snf1 promotes L-A hyper-replication. We confirm this model, first demonstrating that POR1 prevents the accumulation of activated Snf1 throughout stationary phase. By investigating Snf1 signaling targets we show that this POR1-SNF1 regulatory mechanism acts in stationary phase cells to limit amino acid availability that sustain L-A replication. POR1-SNF1 signaling represents a novel physiological control mechanism to limit viral replication in a eukaryotic cell.