No, this is not a serious problem at all. In fact looking to the Inidan scenario it is quite good.
There is some dilution of haemoglobin
because of collection of fluids in body. Analogically, it is like the sugar may be more in a glass of milk. Do decrease the sweetness we add more milk. So the taste of sweetness will go down.
Similarly, a woman gains around 12 kg of weight during pregnancy. Lot of it is because of fluids collected.
You may continue with same Iron medication.