83 yr old lady. Vascular dementia. Type 2 diabetes. Developed swollen big toe, red. Doc diagnosis: gout. Last 48 hrs turned to dark blue. Why? Help!

See below. A physician needs to rexamine this toe. Gout does not cause blue toes. She may have a critical circulation problem.
Dangerous. Gout is possible but it is most likely an infection, this is serious in an 83yo diabetic. Especially if you see drainage she would need strong antibiotics asap. She should also have a vascular test called an abi.