It isn't any more scientific to point to this anecdote of someone dying after getting the vaccine as meaningful than any of the anecdotes of people dying after getting COVID. This proves nothing. Over 100 million people have been vaccinated. Statistically a few of them were going to die within a few days of it. It would be weird if this didn't happen.
More than a couple, for sure. If you can show me that thousands of people have died within a few days of getting the vaccine, then at least the vaccine would possibly be as dangerous as the actual virus itself.