Finely dice the garlic, bell pepper, and onion. Warm a bit of olive oil over medium heat, and sauté the diced vegetables until they become soft and the onion turns translucent. Set them aside to cool.
Use the egg white leftover from making the remoulade. Using a wire whisk or a mixer, beat the egg white until it becomes stiff. Set it aside while you prepare the shrimp.
Ensure the shrimp is well drained of any juices and put it into a food processor. Process it until it reaches a paste-like consistency.
Mix the cooled vegetables with the shrimp paste, a tablespoon of prepared remoulade, half of the breadcrumbs, and all the spices. Gently fold in the egg white and season the mixture with salt and pepper to taste.
Divide the mixture into equal portions, creating 8 or 10 cakes, depending on your size preferences.
Prepare three bowls: place the remaining breadcrumbs into one bowl, beat the egg with milk in another bowl, and add flour to the last bowl.
When you are ready to cook the shrimp cakes, dip each cake in the flour, then into the egg-milk mixture, and finally roll it in breadcrumbs to coat evenly.
Heat a non-stick frying pan over medium heat and add a bit of oil. Heat until it just begins to smoke. Add the shrimp cakes and then turn the heat down to medium. Let them cook until golden brown on one side. Once the bottom of the shrimp cakes is golden, gently flip and fry them on the other side.
Once ready, serve the shrimp cakes immediately with a dollop of remoulade and garnish with radish sprouts or a mixed greens salad.