In a large skillet, add olive oil and place over medium heat. Add in the garlic, white onion and bell pepper; saute for 5 minutes or until onion is translucent. Move mixture to the sides of the pan
Add ground turkey to the skillet and season with salt and pepper; break up the meat and cooking until no longer pink, 5 to 7 minutes.
Once turkey is cooked, add the onion/bell pepper mixture back in. Then add in ketchup, bbq sauce, worcestershire sauce, vinegar, mustard and water. If you like a little heat, add in cayenne pepper.
Stir well to combine and bring to a simmer, then reduce heat to low and cook for 10 minutes longer until sauce thickens. If sauce looks too thick, add in a tablespoon of water.
Next add cheese on top of meat mixture, cover with a lid and let the cheese melt for 2 minutes (or until melted). Transfer meat onto hamburger buns and top with jalapeno slices. Enjoy!
