My wife had a horrible reaction to the Shingrix vaccine, much as you are describing, but hers lasted for about 3 days.
When she went to get the second one, I told her since she had been through that previously, it was highly likely that she would do fine with the second shot. Um, I was wrong. Once again she reacted similarly, with fever, chills, aches/pains, headache and feeling like crap. It didn't last quite as long, though.
The original shingles vaccine was just the pediatric chickenpox vaccine strain but with more virus in it (this was a live attenuated virus vaccine). The "elderly" people for whom the vaccine was intended didn't mount very good responses to it, and the response tended to wane over the course of 6-10 years. Hence the need for a new vaccine.
Shingrix is killed, but it has a powerful adjuvant (adjuvants are substances added into vaccines to help force your immune system into making a more powerful response to the vaccine antigens). The adjuvant works really well, which means that we get a much better immune response that we hope will also last a lot longer, too. The cost of that is that powerful immune responses make you feel really sick.
I haven't had mine yet, but I need to get it soon. In case you don't know, shingles is one of the most common causes of suicide in the elderly. People who get shingles in the distribution of the trigeminal nerve (face and neck) often get what's called "post-herpetic neuralgia." This pain lingers long after the active replication of the virus is over, and it is very difficult to treat with pain medications. It alters the quality of life to such an extent that many people believe that they can no longer live with it, so they take their own lives.
Given that, even if the Shingrix makes you feel crappy for a day or two (or in my wife's case, even longer), it seems worth it.
"We are not provided with wisdom, we must discover it for ourselves, after a journey through the wilderness which no one else can take for us, an effort which no one can spare us, for our wisdom is the point of view from which we come at last to regard the world." --M. Proust