/www.verywell.com/cold-hands-cold-feet-sluggish-thyroid-3233150Cold hands and the "chills" can be low thyroid related.
Extreme cases of cold hands have obvious circulation issues (turn white- called Reynard syndrome), and is common in untreated hypothyroidism.
As we know, these infections can take a tole on the thyroid gland. Free T3 and Free T4 not just TSH are the important thyroid tests.
Just something to check if you have not.