Drain and rinse the black beans, then place them in a medium bowl and mash them slightly with a fork.
Add the ground turkey, egg white, almond flour, garlic powder, onion powder, cumin, sea salt, and black pepper to the bowl with the beans.
Mix the ingredients thoroughly until well combined, then form the mixture into two thick patties.
Heat the olive oil in a non-stick skillet over medium heat and cook the patties for 5 to 6 minutes per side until browned and cooked through.
While the burgers cook, mash the avocado in a small bowl and whisk in the Greek yogurt and lime juice until the crema is smooth.
Serve the warm patties immediately, topped with a generous dollop of the avocado crema.