Preheat your oven to 400°F.
Using a sharp knife, carefully slice the chicken breast horizontally to create a pocket without cutting all the way through.
In a small bowl, combine the low-fat cream cheese with finely diced jalapeño pepper, adding a pinch of salt, black pepper, and garlic powder to taste.
Stuff the chicken breast pocket with the jalapeño cream cheese mixture and secure with toothpicks if necessary.
Lightly season the outside of the chicken with additional salt, pepper, and garlic powder.
Place the stuffed chicken breast on a baking sheet lined with parchment paper.
In a separate bowl, toss the broccoli with olive oil, salt, and pepper until evenly coated.
Arrange the broccoli around the chicken on the baking sheet.
Bake in the preheated oven for 20-25 minutes, or until the chicken is thoroughly cooked and the broccoli is tender and slightly crisped at the edges.
Remove from the oven, let the chicken rest for a few minutes, then serve and enjoy.