If you aren't happy with your current doctor's diagnosis, find another, and quickly. For some reason, neuros seem to be the ones with serious God complexes. ( Believe me, with the stuff my husband is going through with HIS neuro, we know.)
As for symptoms, anxiety and depression can go hand in hand with essential tremor, since they are both essentially nerological disorders. Oft times, seizure meds are given to depression sufferers to control one or both. If she was on medication for depression before the tremors started, the tremors could actually be a med side effect- it's very common. Hope this helps a little.
Chronic depressive/GAD/SAD sufferer