In a small saucepan, whisk the water into the tomato paste.
Add other BBQ sauce ingredients and cook over low heat for about 5 minutes.
If desired, divide the chicken into parts. Coat either the whole chicken or the parts with olive oil.
Spoon and spread the BBQ sauce evenly over chicken.
Grill or bake at 350 degrees (375 if you prefer more of a "grilled" effect) for 50 minutes or until internal temperature reaches at least 180 degrees. My family prefers the chicken more well-done so I cook it a bit longer.
You can substitute any healthy sweetener for the xylitol, but you may need to use a different amount if using a liquid sweetener so read this post on substituting sweeteners. If using stevia as your sweetener, use 1/16 teaspoon.