Hello,
While iron deficiency anemia can cause fatigue and exhaustion, it does not cause a drop in blood pressure or in the pulse rate. In fact anaemia is more likely to increase the pulse rate as the heart struggles to send oxygen to the peripheral regions of the body.
If your girlfriend has always had normal blood pressure and a normal pulse rate, and the decrease has only been around a week, I would advise you to get her thoroughly checked up, at least by her doctor if she is reluctant to go to the ER. It is also possible that she is suffering from acute dehydration.
Most of the causes of low blood pressure are related to the heart or the thyroid gland - and needs to be treated at the earliest.
Please see:
http://health.allrefer.com/health/blood-pressure-low-causes.html
http://www.medicinenet.com/low_blood_pressure/page4.htm
I hope this helps.
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Experienced in the management of Pregnancy,Infertility,Menopause and all problems in Pregnancy and Gynecology