Cook and stir onion in margarine and oil in a 10-inch skillet, until tender.Stir in broth, 1/4 cup of almonds, the cayenne pepper, vinegar, sugar and cinnamon. Heat to boiling; reduce the heat and simmer, uncovered, for 10 minutes.
Spoon mixture into a blender container, cover and blend on low speed until smooth, about 1 minute. Return sauce to skillet.
Dip chicken breasts into the sauce to coat both sides. Place skin sides up in a single layer in the skillet. Heat to boiling and then reduce the heat, cover and simmer until done, about 45 minutes.
While chicken is cooking, cook rice according to package directions.
In a small bowl, make relish by finely dicing the tomato and jalapeno, drizzle the lemon juice over it and give it a stir. Set aside.
To serve, plate the meal by putting down a bed of rice, then the chicken. Slice the avocado slay the slices out on the chicken then top it with some of the relish.