What Causes Constant Dizziness?
Ear issues or stroke.
Detailed Answer:
I read your question carefully and I understand your concern.
Dizziness can have many possible causes related to blood pressure, heart issues, metabolic disturbances, anemia etc. However that description of dizziness with veering on one side indicates more of a specific issue with your coordination and balance system.
The most commonly affected part of this system usually are inner ear structures and probably if you have no headache, no weakness or numbness on your limbs or face, no vision trouble, no swallowing or speech articulation difficulties, the ear is the most probable cause, it is bothersome but not dangerous.
The other cause which must be considered is stroke. The chances of that are higher especially if you have any of the above mentioned symptoms and in that case you should head immediately to the ER as a stroke is more probable.
However even if you don’t have those symptoms and stroke is less likely, I still believe you should be checked in the ER considering your age which makes you a stroke risk person. That applies especially if you have some other condition such as heart issues, high blood pressure, diabetes etc.
I remain at your disposal for other questions.