Under normal circumstances, blood pressure reading for women, as well as men should be 120/80 mm Hg. Abnormally high or low blood pressure can have serious repercussions on one's health, which is why blood pressure must be monitored at regular intervals.n the other hand, diastolic pressure is the minimum pressure exerted by blood on the arteries when the heart relaxes between beats. Normal Blood Pressure in Women. Ideally, the blood pressure reading should be 120/80 mm Hg (millimeters of mercury).