Prepare your garnishes: Wash and trim a celery stalk, cut a lime wedge, and have your olives or other chosen garnishes ready.
In a cocktail shaker, combine the tomato juice, vodka, fresh lime juice, Worcestershire sauce, hot sauce, celery salt, black pepper, and smoked paprika.
Fill the cocktail shaker with ice cubes. Seal the shaker tightly.
Shake vigorously for about 15-20 seconds until the shaker is well-chilled.
Fill a tall glass (like a highball or pint glass) with fresh ice cubes.
Strain the mixture from the shaker into the ice-filled glass.
Garnish your Bloody Molly with the celery stalk, lime wedge, and any other desired toppings.
