You are potentially damned if you get the Shingrix vaccine, and potentially damned if you don't get the Shingrix vaccine. I fortunately have not had shingles, which can be mild or severe. In severe cases, pain can last for months. There are many possible nasty complications from shingles, including tinnitus. Approximately 1/3 of the unvaccinated adult population will suffer from shingles at least once in their lifetime.
Although tinnitus is not listed by the FDA or GSK (the maker of Shingrix) as a possible complication/adverse event from the vaccine, it unfortunately was almost certainly a complication for me along with sudden hearing loss. Prompt treatment resulted in full restoration of my hearing, but the tinnitus seems to be permanent. My doctor believes that both were the result of the Shingrix vaccine and told me not to get the 2nd dose. I did not get the 2nd dose. (However, a single dose still provides significant protection against shingles, and my doctor and I both were aware of that.)
I don't think anyone can predict who will get shingles or how severe it will be. Similarly, nobody can predict who will have a severe adverse reaction to the Shingrix vaccine. I honestly don't know which has the best or worst odds.
There are many reported cases of both tinnitus and hearing loss on the CDC's VAERS database, which anyone can search. Also, anyone can report their own Adverse Event from any vaccine. Although the overall number of reports for both tinnitus and hearing loss are relatively low, it appears that the Shingrix vaccine may have more reports of hearing loss or tinnitus than from any other vaccine since Shingrix was introduced---at least before the massive coronavirus vaccination campaign began.