Raynaud’s Disease – why my toes are purple.
https://www.mayoclinic.org/diseases-conditions/raynauds-disease/symptoms-causes/syc-20363571

Raynaud’s (ray-NOSE) disease causes some areas of your body — such as your fingers and toes — to feel numb and cold in response to cold temperatures or stress. In Raynaud’s disease, smaller arteries that supply blood to your skin become narrow, limiting blood flow to affected areas (vasospasm).