Anyone lightheaded just from low ferratin?

I’m not anemic but I have been struggling with lightheadedness and feeling off balance since December. My doctor ran a bunch of tests and the only thing that showed up was low ferratin (13 four weeks ago and 15 yesterday after retest). I have been having very heavy periods the last 4-5 months which is being addressed by my gynecologist. My PCP does NOT think my lightheadedness is caused by the ferratin (“there is no way”) since my other iron numbers are normal. I don’t know what to do or what could be wrong. I’ve also had hair loss, tinnitus, and a general feeling of head cloudiness. Seen every doctor. My PCP also doesn’t want to supplement iron because my other numbers are good and she’s worried it will create new problems. I’m not looking for medical advice but I guess I’m just venting and wondering if anyone else has been in a similar boat. It’s awful.