It is possible that you have an inflammation of the nerve of the tooth(pulpitis). This can be a result of the prepping of the tooth or the cement that was used. The pulpitis is either reversible(it gets better on its own) or irreversible which require root canal therapy. The bottom line here is the discomfort you are in, if that does not abate then the rct will be necessary.
the nerve gets inflamed anytime a tooth is drilled on. sometimes it s more severe than other times, sometmes it is reversible and sometimes it is not. your sensitivity in this case may be related to the fact that a different cement is used under resin crowns as opposed to the porcelain metal kind it seems you had before. If it were me, and if indeed a resin cement (different) was used under your new crown, knowing what I know I would want the resin crown removed, and a temporary made and cemented with IRM-- which contains a sedative called Eugenol. If you do ok there, I'd want a new crown made from yellow gold, and cemented with the same IRM material.