Bring the water to a simmer in a medium pot over high heat.: You will hear the water move and see small bubbles appear around the edge before a full boil, and that initial simmer warms the pot so the next steps are even. This preheating helps the rice start softening consistently when added. If you rush to a roaring boil, the rice can clump or cook unevenly, so look for gentle bubbling and steam as your cue. A common mistake is not using a pot large enough which can cause boil over, so choose one with some headroom.
Stir in the salt and the rice.: After adding the salt and rice , you will notice the grains glisten as they become coated, and a faint toasty scent may develop once they hit hot water. The brief stirring helps distribute the salt so it seasons evenly. I find a wooden spoon works well to separate grains initially. Avoid stirring constantly during the simmer phase because that can release excess starch and make the texture gluey.
Allow it to come back to a boil and then turn the heat to low and simmer, covered, until the rice is tender (about 15 minutes).: Once the pot returns to a boil you will see larger bubbles and more vigorous steam, then lowering the heat lets the rice cook gently. Covered simmering traps steam, cooking the grains through; you should hear a low, steady hiss and see the pot top lightly condense. The rice will become plump and tender without being mushy if you keep the heat low. Opening the lid too often can extend cooking time and create uneven texture, so trust the clock and test a grain near the end.
Fluff the rice with a fork and stir in the milk, butter, sugar, and cinnamon.: Fluffing separates the cooked grains so they combine better with the milk . When you pour in the milk , notice a gentle steaming and the aroma will shift to creamy sweetness. The butter melts and adds sheen, while the sugar dissolves to sweeten gradually and the cinnamon lifts the aroma. Stirring here should be steady and patient to integrate everything. If the pot feels too cold, warm the milk slightly first to avoid shocking the mixture, which can slow thickening.
Split the vanilla bean, scrape out the seeds, and add the seeds and the empty pod to the pot. Simmer the mixture on low heat (stirring) until slightly thickened (about 5 minutes).: Scraping the vanilla bean releases tiny black seeds that smell intensely fragrant and floral, and adding the pod deepens the infusion. As you simmer, you will see the mixture gain body, forming a gentle ribbon when stirred. Listen for a low simmer and watch for small bubbles on the surface that indicate the starches are unlocking and the pudding is starting to thicken. Stir frequently to prevent scorching on the bottom; burnt milk flavors are hard to fix.
Remove the pot from the heat and vigorously stir in the beaten egg.: After taking the pot off the heat, the surface will show movement but not active bubbling, and this moment is ideal to temper in the egg . The egg brings a glossy silkiness when incorporated correctly. To avoid curdling, let the hot pudding cool for a short minute, then add a small ladle of the hot mixture into the beaten egg while whisking, and return that mixture to the pot, stirring quickly. The sensory payoff is a thicker, custard like texture. An error here is adding the raw egg straight into boiling pudding which causes scrambling, so patience is crucial.
Fish out the empty vanilla bean pod before serving.: Once the pudding has the texture you like and the egg is fully incorporated, use a spoon to remove the empty vanilla bean pod. The removal is a small, finishing gesture that prevents a chewy bit in the bowl and leaves the dispersed seeds behind. By now the aroma should be deeply vanilla scented with a hint of cinnamon , and the surface will look creamy and slightly glossy. If you leave the pod in, it will continue to infuse and can become overpowering over time, so take it out before plating.