What are the restrictions on medical conditions for potential immigrants?

Genetic hypertension is not one of the health conditions that can bar being granted an immigrant visa.

This medical condition will not likely affect your immigrant visa application.

Genetic hypertension is not on its own ground of inadmissibility, but if you have a medical condition that results in you being a danger to yourself or others, then that can be an issue. Also, if this condition makes it such that you will be a burden and unable to support yourself, that could be a problem.

Possibly not. The main health conditions that tend to prevent potential immigrants from entering the U.S. are infectious diseases and hypertension is not one of them.

It is not likely to have an impact, but it is best to discuss this with the civil surgeon. The consular officer will be primarily concerned that if you have a medical condition, you have the funds to pay for your treatment.

Medical grounds of inadmissibility generally pertain to communicable diseases and public health concerns.

They are primarily worried about infectious diseases and vaccinations. Chronic conditions, if being managed already, should be OK.

No, that is not a condition that is excluded from admission to the U.S.