I am not sure what your question is.
First, her thyroid function needs to be checked.
New guidelines for this, if the TSH is over 2.5 this can be the problem [most doctors still think up to 4.5 is normal so you have to check the value].
Dishydrotic eczema affects the hands.
Find out if this is what it is, which requires moisturizers and steroid cream.
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The eczema would also need steroid.
Hypothyroid can contribute to this.
Normal levels don't mean anything per se.
TSH should be around .8, but normal goes up to 4.5 so you have to look at the exact value.
In treated patients, TSH should be between .8 and 1.
Above that is still relatively hypothyroid.