Preheat your oven to 375°F (190°C).
In a mixing bowl, combine the mayonnaise, finely chopped celery, finely chopped onion, garlic powder, and TABASCO sauce. Stir well.
Gently fold in the lump crab meat, then add the shredded cheddar cheese and mix until evenly coated.
Place the split English muffins on a baking sheet, cut side up, and toast in the oven for about 5 minutes.
Remove the toasted muffins and spoon the crab mixture generously onto each muffin half.
Return the baking sheet to the oven and bake for an additional 10-12 minutes, until the cheese is melted and bubbly.
Sprinkle with chopped fresh parsley and serve warm.