According to the data you provided (feeling always hungry, morning anxiety that relieves after meal, lack of energy and motivation) you might be experiencing hypoglycemia. Hypoglycemia is a condition in which the glucose blood levels are decreased. However, this is usually only a sign of another possible undergoing disorder.
No data can be found about the relationship between menstrual periods and hypoglycemia. The reason that the symptoms are more severe when having your menstrual period might be due to the fact that both the hypoglycemia and the change in the female sex hormone levels are able to cause mood changes, feeling of fatigue, lack of energy, etc.
You might want to visit your family doctor for a physical examination and basic laboratory tests that would also include glycemia (glucose blood level). If hypoglycemia is found, you might be referred to an endocrinologist for an additional examination in order to find the cause for the hypoglycemia.
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