In the bowl of a KitchenAid mixer fitted with a paddle attachment, mix 1 2/3 cup corn flour, 2 Tbsp honey and 1 cup boiling water on low until a thick hash forms and it is evenly moist.
Turn off the mixer and let stand 30 minutes or until the mixture is just warm to the touch.
After 30 minutes resting, then add the room-temperature 1/4 cup water, 1 cup bread flour, 1/2 cup rye flour, 2 tsp yeast and 2 tsp salt to the KitchenAid bowl.
Using the dough hook attachment, mix on low for 5 minutes, the dough should be tacky but not sticky remembering to scrape the bowl down as needed.
Turn the dough out onto the counter and then shape the dough into a 5 inch in diameter ball.
Additionally, you can choose to make two separate pieces.
Set the dough onto a parchment lined baking sheet or a baking stone and then dust the top with flour.
Cover the dough ball with a clean kitchen towel and let rise until the volume increases by half, from 1 to 1 1/2 hours.
Preheat your oven to 500 degrees Fahrenheit.
Bake the Portuguese Cornbread for 15 minutes with the rack in the middle of the oven.
Reduce the oven heat to 300 degrees and bake an additional 30 to 35 minutes, or until it is a deep golden brown.
Remove the baking pan from the oven and then transfer the bread to a cooling rack, let the Portuguese Cornbread cool completely, around 2 hours before serving.