Final answer:
Somatostatin(e) is the hormone that inhibits gastric secretion during the intestinal phase, stopping the release of stomach acid through a negative feedback mechanism.
Step-by-step explanation:
The hormone of the intestinal phase that inhibits gastric secretion is somatostatin(e). During the gastric phase, the hormone gastrin is secreted by G cells in the stomach in response to the presence of proteins. Gastrin stimulates the release of stomach acid to aid digestion. In contrast, somatostatin plays a crucial role in regulating the gastric environment by inhibiting the release of hydrochloric acid once the stomach has emptied of food, employing a negative feedback mechanism.