I understand it too, really I do, I too have a phobia of medicines and don't even use standard painkillers. I honestly announed a few weeks ago 'I'm not having it, period, never!'. I literally feel exactly the same way as you about these vaccines, but I have been reassured by (luckily) some scientific people around me. They tell me that any vaccine could be produced this quickly, all the necessary safety checks have been undertaken and its safety is already proved, and the only difference between this one and any other is the amount of funding that was thrown at it ! Actually one medic laughed at me, and said 'if only as much effort could be applied to other vaccines and medications' we'd have loads of things sorted out ! I have seen many elderly people around me have it, some over 90, as the first category and 4 weeks later they are fine and healthy
These aren't revolutionary and new vaccine technologies, they are standard processes of using benign introductions to the body, to stimulate the immune system.
Its worth remembering also that the first people to have this have been highly qualified doctors, who know and understand the indepth safety and processes of this method of vaccination; if they'd have refused, then I would have been worried
(part of me writing this to you, is in order to continue convincing myself LOL)