Hiya Michael!
Welcome to planDisney! I'm glad you visited your doctor and are seeking to follow their instructions to stay healthy. I am glad to be here to support you the best way I can within what is allowed at Walt Disney World Resort!
Unfortunately, cooking appliances that are not already in the room such as hot plates, crockpots, or rice cookers are not allowed in Disney Resort Rooms. I spoke with a Cast Member who confirmed that bringing such items could be a fire hazard and would not be allowed. He did let me know that if requested and available a microwave can be delivered to your room. Just speak to someone at the Front Desk when you arrive. If for some reason one cannot be provided a microwave is also available at
Capt. Cook's which is a Quick-Service location at the Resort. Each standard room at
Disney's Polynesian Village Resort comes with a small beverage cooler for you to store any food. The air temperature is not going to be as chilled as a proper refrigerator but it will work to keep items cool. Since Disney's Polynesian Resort has
Disney Vacation Club properties there are several charcoal grills located throughout the property near the DVC buildings which are Moorea, Pago Pago, and Tokealu. You will have to procure charcoal to use these areas. I hope that the microwaves and grills could be a good solution to meet your needs.
Another option is to consider booking a
Deluxe Villa Resort. A full kitchen with a stove and a proper refrigerator is available for all villas that have one or more bedrooms. At
Disney's Polynesian Villas & Bungalows, only the Bungalows have full kitchens. Consider looking for a Deluxe Villa nearby at
Bay Lake Tower at Disney's Contemporary Resort or
The Villas at Disney's Grand Floridian Resort & Spa which have one bedroom and larger rooms. Many people don't know that
The Cabins at Disney's Fort Wilderness Resort also have full kitchens as well. Disney Vacation Club properties are intended to be your "home away from home" so amenities such as a full kitchen and even laundry facilities make staying there very convenient.
I know you are working hard on your health but consider reaching out to Special.Diets@DisneyWorld.com before you arrive as they can work to make meals that fit within your medical limitations. To be the most efficient, I suggest you have your dining reservations already made before contacting them. I would suggest going ahead and starting making them at the 60-day mark before you arrive and emailing them about two weeks before you arrive. The lovely Cast Members will take your reservation information and work with the staff at the restaurants to make some magic happen. I have friends with various dietary issues who love visiting Walt Disney World Resort as they can finally eat delicious meals with their families without worry. It's a great relief to know that one's meals are "safe" and that a vacation truly becomes a relaxing time.
I hope this helps and you have a lovely holiday!
Happy Planning!
-Nimmy