In a pan, add 1½ cups water with the heavy cream and place on stove at low temperature until it starts boiling.
At the same time, preheat oven to 425℉ and roast the poblano peppers for 30 to 45 minutes, turning them constantly with tongs.
Once roasted on all sides, place in a bag and close. This will soften the skin and will allow you to peel after about 5 minutes of being in the bag. Peel and clean the peppers.
Check the pan with the heavy cream. Once boiling, add the wine and reduce the alcohol for another 5 minutes.
In a blender, blend the peeled poblano peppers with the Monterey Jack cheese and add the heavy cream mixture. Add the blended mixture to the same pan you used, then add the chicken base, salt, and pepper to the mixture.
Lastly, blend 1 cup of water with the flour and then add it to the pan. Leave on the stove until it boils again.