Is It Normal To Have Cold Feet/legs With Moderate Fever?

I am a 33 year old female, mostly good health though with a history of asthma. I am 5 9 and 270 lbs. Yes, I am aware that this is badly overweight, I also work out 5.5 hours a week and I m working on fixing my diet. I currently have a cold, I ve had a fever for 3 days now that refuses to break, and while my head, arms, and upper torso are hot, my legs feel normal and my feet are ice-cold. I normally have cold feet, but it seems strange with the fever. (other symptoms are typical cold symptoms - sinus congestion, post-nasal drip, dry cough, sore throat from the drip and the cough, fever fluctuating from 99.2-100.4 at different times of the day) Is it normal to have cold feet/legs with a moderate fever?