Hi Gem,
Anyone can suffer with high blood pressure, diabetic or not.
The more you stress about it then the higher it will go. It is sometimes difficult for the medics to get the right combination of medication to sort it out and it really is trial and error as to what will suit you.
I personally have had high blood pressure for 36 years, long before my diagnosis of Type 2 diabetes and have been on many bp medications over the years. Even though I have no complications and am not overweight, I still have high blood pressure that needs medicating.
It has to be controlled as you rightly say, it is the "silent killer".
Is there a family history of high blood pressure, heart conditions, strokes as this is often the case?
Maybe when you get it under control then the headaches and nausea will go.
Try not to worry too much and if you feel that your GP is not taking it seriously then ask to be referred to a Consultant.
It seems unfair that some sail through life with no worries and yet people like yourself who control their diabetes should have this added burden. Life isn't fair and once you get the right combination of meds you will feel so much better.
Take care ,
Catherine.