This work explores the impact of decisions made at the physical layer on the behavior of delay-constrained communication systems. The focus is on memoryless arrivals and channels with memory. Performance is assessed in terms of the stationary distribution of the transmit buffer at the source. In particular, the complementary cumulative distribution function of the queue occupancy is employed to characterize optimal block-length and code-rate as functions of the channel parameters. The system model is crafted to ensure a tractable analysis, while remaining general enough to accurately capture many realistic scenarios. This initiative sheds new light on the design of delay-sensitive systems. It also introduces questions on the role and availability of feedback in practical implementations. The theoretical results obtained in this work are supported by a numerical study.