It seems like you are looking for a specific term that describes an organism of a higher trophic level feeding on a specific organism of a lower trophic level. The correct term for this relationship is "predation."
In a food chain or food web, higher trophic level organisms (such as predators) feed on lower trophic level organisms (such as herbivores or primary producers). If you need more information or have another question, feel free to ask!