The following medical facilities are the closest ones to Disney I found. I do not endorse these hospitals or medical facilities in anyway, but it is good to know what your options are just in case. I will update as often as I can:
Medical Information Directly from Disney World
Website: https://disneyworld.disney.go.com/guest-services/first-aid/
Magic Kingdom First Aid:
Epcot First Aid:
Hollywood Studios First Aid:
Animal Kingdom First Aid:
Blizzard Beach Water Park First Aid:
Typhoon Lagoon Water Park First Aid:
South Lake Hospital Joe H. & Loretta Scott Health Pavilion
Address: 16966 Cagan, N Ridge Blvd, Clermont, FL 34714
Phone Number: (352) 241-7122
Website: https://www.southlakehospital.com/south-lake-facilities/joe-h-and-loretta-scott-health-pavilion
AdventHealth Celebration
Address: 400 Celebration Pl, Celebration, FL 34747
Phone Number: (407) 303-4000
Website: https://www.adventhealth.com/hospital/adventhealth-celebration
My Chronic Travels 