Preheat the oven to 350°F (175°C).

In a large skillet, melt 4 tablespoons of butter over medium heat. Add sliced bananas, brown sugar, and rum; sauté until caramelized, about 5-7 minutes.

In a mixing bowl, combine flour, baking powder, salt, cinnamon, and nutmeg. Make a well and pour in the milk, stirring until just combined.

Spread the caramelized bananas in a greased baking dish, then gently pour the cobbler topping over them.

Bake for approximately 25-30 minutes until the topping is golden brown.

Let cool for about 10 minutes before serving.

Serve warm with vanilla ice cream or whipped cream if desired.