Cold sensitivity. Plz advice.

So in the last 3 to 4 months I have developed this problem where in whenever I am under fan I feel a bit cold and have a burning sensation on my feet and open parts of the body and I develop fever. The whole summer I spent without fan. And also whenever my left hand palm gets in touch with water I develop fever, this condition is for a long time may be 2 yrs n more. I initially thought I'm sensitive so it's happening. But off late all of these, is hampering my day to day activities. I got my blood test and thyroid test done. Thyroid came as 5.87 and blood test was normal only a lil dip in RBC, not much. When I consulted the doctor she told I have low immunity, deficiency of iron, vitamins. Also to let you know I have gluten intolerance and partial sugar and lactose intolerance. Plz advice.