Feeling cold is a common complaint. Often this is a relatively minor complaint with no obvious derangement that requires medical intervention. That being said, there are a few common and serious complaints that should be ruled out. I would recommend that you follow up with your primary care doctor
in order to have this evaluated.
Many people complain of feeling cold. In the acute setting (if this started all of a sudden) one would worry
about infections. However if it has been going on for a while then this is less likely. If you are having discrete episodes of shaking chills, then this would be concerning for a chronic infection or rheumatologic disease. If this is the case, it requires attention.
There are a few causes of chronic cold feeling. The most common is low thyroid hormone levels -- known as hypothyroidism. The thyroid hormone, is the energy hormone, so low levels cause the feeling of cold, fatigue, constipation, and dry skin. If this applies to you then your thyroid levels should be checked. Other causes of feeling cold include low steroid levels (Addison's disease). Being cold in just the hands could be a vascular disease (known as Raynaud's).
See your doctor. At the very least, thyroid levels should be checked.