Every vaccine has some risks for a few people, and for that reason - depending about which vaccine we are talking - often pregnant women, small children, people with medical issue and/or allergies etc. are excluded.
Same can be said about prescription drugs. Not every drug fits every person even if they suffer of the same illness.
About covid-19, some drug makers are now allowed to supply ordinary citizens with their drugs and vaccinate them in some countries.
I think in a few months millions of people will be vaccinated and we will see the results.
As far as I know, nobody will be forced, there are plenty of people who like the idea of vaccination.
UK, USA, Russia, China and a few other countries like Indonesia are now ready to permit vaccination of ordinary citizens who are lining up voluntarily and other countries will follow soon I guess. Also the choice of vaccine will increase - several companies are already in an advanced stage of testing their products.