About 15 years ago I made an official complaint to Social Security Head Office about a doctor..
I will not go into details other than to say that it was when I discovered I had cancer that I made the complaint.
The doctor in his defence said he had referred me to specialist but that he had not made a note of who it was and he could not remember. In fact he had not kept any records of my visits. I was a lie but accepted by the Social Security as I could not prove that he had not referred me.
It was a waste of my time.
In this case, you might try asking for the complaints forms, complete them and see what happens.