Low iron levels and PMR

Hello all.

I've just been diagnosed with PMR following a recent blood test that showed various anomalies, some of which were way out of the normal ranges. CRP, for example was at 178 when the reference range is less than 5. All of these anomalies I've never had before. They came out of the blue although I've been feeling unwell for a while.

One area where levels were too low was my "iron panel". Most of my iron, ferritin, transferrine levels were either too high or too low. I've asked my rhumatologist if I need to supplement with iron while it's low but she told me it's low because of high levels of inflammation (which I agree with) but she told me there's no need to supplement.
But, having low levels of iron, short or long term can cause some of the symptoms of PMR itself.

Has anyone had any experience in this aspect of PMR? I'm just wondering if I should supplement with iron tablets and whether that may help in some way.

Thanks in advance.