Step 1: The question asks which agent typically triggers inflammation of the renal interstitium. Interstitial nephritis is most often a hypersensitivity reaction, and pharmacological agents top the list of triggers.
Step 2: Non-steroidal anti-inflammatory drugs are a textbook offender. They provoke interstitial nephritis and can also cause nephrotic-range proteinuria through minimal change pattern, making them a well recognised renal hazard.
Step 3: Contrast this with the remaining choices. Blackwater fever produces massive intravascular haemolysis with haemoglobinuria; rhabdomyolysis releases myoglobin; tumor lysis syndrome floods the tubules with uric acid and phosphate. Each of these injures the tubules directly (acute tubular necrosis or crystal nephropathy) rather than mounting an allergic interstitial response.
Step 4: Therefore the agent classically linked to interstitial nephritis here is the NSAID.
\[\boxed{\text{NSAID}}\]