Yes, SFA plus staph infection. Ask vet for scrape, it’s a quick and inexpensive analysis which will show staph and Mange mites. For mange the best is Nexgard monthly, for staph you will need antibiotic and medicated dog shampoo with Ketokonazole and Chlorhexidine. Guys are right, you must fix her diet ( may be look at raw or home cooked limited ingredient diet) and increase share of probiotics in food for immune system. Good quality fish oil is very important in dogs diet too, might help with SFA.