Half of the physicians surveyed thought that half of their patients weren't following the instructions on their prescription. Much of this problem stems from lack of communication. More than a third of the patients surveyed hadn't been told by their doctors what side effects might be possible. And I suspect that a large percentage of patients didn't report back to their doctors the side effects they did experience. There are numerous medicinal approaches to treating hypertension, and no one is best for everyone.
Some people do well on beta blockers, whereas others have better luck with diuretics.
For people who have problems with both, there are still other drugs. Chances are your pharmacist has a solution that will turn down the pressure without turning you off.