I understand that people are worried and that being rational is difficult when press coverage jumps on things and sensationalises them.
Risk can be quite hard to assess at the best of times and people often get it wrong because it's easy to bring emotion, prejudice, something you read into the paper, heard on the internet into the equation rather than look at the basic figures and it's also hard to assess what that risk means in real terms in comparison to alternatives.
The risk of an extremely rare side effect versus the alternatives (untested combination, possibility of the illness & its long term effects, hoping you are fine, hoping you'll only get a mild illness) is difficult to weigh up and at the moment there is the added pressure that everyone is doing the same thing and talking about it very loudly.
I take medications for a chronic condition - and had to weigh up the risks for that (cancer / long term side effects/ liver damage) and that was hard even though the benefit was obvious if it worked.
Vaccines are harder because they are an insurance policy rather than a repair job.
For me looking at the evidence rationally the risks are extremely low, with the side effects being a very small group within an unusually massive sample. Most medications don't have the sample group we currently have for CV19 vaccines. If you have an issue with a multi dose vaccine it's usually with the first dose so if I was having second thoughts it would be if I was awaiting my 1st dose not my second.
The vaccine for me was a bigger risk as it wasn't studied on groups who are immunosuppressed like I am due to auto immune diseases - my immune system doesn't work properly in the first place and I can't have some vaccines so it was a big decision to have it. However the risk of Covid causing long term damage was higher and after weighing it up decided that it was the right thing to do. I had the AZ one.
Scientific data is not as some people think a fixed thing as more is known or more is sought out it changes, usually this flies under most peoples radar but at the moment people who don't usually interpret data and writing newspaper articles in it and the proper analysis is lost in headlines.
Only you can say what's right for you but try to step back from the headlines, analyse with a rational head and come to your decision.