Tough to say.  Two possibilities come to mind if the crown is directly
in front of the wisdom tooth that was extracted:
1) There was a bit too much pressure placed on the crowned tooth in the
course of the wisdom tooth extraction.  It may have been moved slightly,
or the crown may have been slightly dislodged, and you may be putting
too much pressure on it when chewing.
2) There may have been some gum recession from the extraction, exposing
some root surface on the crowned tooth.  This can cause cold sensitivity.

    This should be checked out.  While I can't rule out the possibility you
may need root canal, there's a good chance you won't.

S. Bornfeld, DDS