YOu need to either (1) put small wire nuts on the ends, which would require stripping back the jacket a little, also putting the wire end in a box with an accessible cover, or (2) disconnecting the other end of the wire.
Even if you disconnect the other cable end, it would be a good idea to have both ends in accessible boxes so the wires can be used again in the future (exception for obsolete and/or crumbling very old wires).
Tornado victims: Do not rush to rebuild. Take your time and look for and get a good contractor. Or consider selling the property and moving to a home that is ready to live in.