What causes sweating, but skin feels cold?

Malaise, bp dropping

It may be cold sweats. Cold sweats come from the body’s response to stress. Cold sweats can be a sign of significant injury or illness. Basic causes are pain, lack of oxygen, fear or low blood sugar. There are other causes of cold sweats that aren’t necessarily emergencies, such as the hormonal changes.There is no specific treatment of cold sweats. To make them go away, you must treat the underlying cause.

Drop in blood pressure can also lead to cold sweats(as in your case). See doctor asap.