Have you both been checked for anaemia? Dieting can really deplete your iron stores. They need to test your ferritin, your iron stores, and you want your ferritin levels to be above 25, ideally above 50 or 75. Different countries have different reference ranges for what is considered anaemia.
Don't just take iron tablets, that's not wise. The amount in standard vitamin pills isn't enough to treat anaemia, and the amount needed to treat anaemia would be dangerous if you actually had high iron levels. If you get tested and it comes back borderline (e.g. in the UK they won't take action until your ferritin gets below 12, which is ridiculous), then it may be worth taking the therapeutic dose, but get checked first.
Plus there are various other things which can cause cold extremities such as low thyroid, which the doctor should also be running a test for. Having feet that cold isn't normal!
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