Preheat the grill: Fire up your grill or grill pan over medium-high heat. You want it nice and hot so the shrimp sear immediately. Lightly oil the grates with a paper towel dipped in oil.
Prep the shrimp: Pat the shrimp dry with paper towels. In a bowl, toss them with the olive oil, garlic powder, and a generous pinch of salt and pepper until every piece is evenly coated.
Grill the shrimp: Lay the shrimp on the hot grill in a single layer, making sure they aren't touching each other. Let them cook undisturbed for 2-3 minutes, until you see deep grill marks and the edges turn pink.
Flip and finish: Flip the shrimp and cook for another 2-3 minutes. They're done when they're opaque all the way through and feel firm to the touch. Transfer them to a plate and let them rest for a minute.
Toss the salad: In the large bowl, combine the chopped romaine, chilled Caesar dressing, and shredded parmesan. Toss gently until the leaves are evenly coated—you don't want them drowning, just lightly dressed.
Assemble the wraps: Lay the warmed tortillas flat on your cutting board. Divide the Caesar salad evenly between them, placing it slightly off-center so you have room to roll. Top each pile of salad with the grilled shrimp.
Roll tightly: Fold in the sides of the tortilla, then roll it away from you as tightly as you can, tucking the ends in as you go to secure the filling.
Slice and serve: Use a sharp knife to slice each wrap in half on a diagonal. This isn't just for looks—it creates a nice pocket for the lemon juice to seep into. Serve immediately with lemon wedges on the side.