In a large bowl, combine the ground turkey, taco seasoning, diced onion, salt, black pepper, and ground cumin; mix gently until evenly combined without overworking the meat.
Divide the mixture into 4 even portions and form each into a patty about 3/4 inch thick.
Heat a large skillet over medium heat and add just enough olive oil to lightly coat the pan.
Place the patties in the hot skillet and cook until browned and cooked through, about 5 to 6 minutes per side (internal temperature 165°F / 74°C).
If adding cheese, place slices on the patties 1–2 minutes before they finish cooking and cover briefly to melt.
While the burgers cook, whisk together the Tabasco Chipotle sauce and mayonnaise in a small bowl until smooth; let rest for 5 minutes to meld flavors.
If using buns, toast them under a broiler or in a toaster until lightly browned.
Assemble burgers by spreading chipotle mayonnaise on the bun, adding a turkey patty, and topping with pico de gallo if desired.
Serve immediately with your choice of sides.