The second temple was destroyed during a Jew uprising against the Roman Empire. The priests were massacred and many Jews banned to live inside Jerusalem. The Romans built a pagan temple at the original site.
The Christ's second coming is a key event that all Christians await as He will deliver the final judgement to all humans.
After the failed Bar Kochba revolt, Romans prohibited Jews in Jerusalem and the re-construction of Second Temple stopped. In modern day, after Israel captured the entire Jerusalem in the Six-day War, there were discussions of rebuilding the Temple. But the area was considered disputed territory and rebuilding would need to be resolved with Palestinians. The rebuilding of the Temple is generally tied to Christ's second coming in in mainstream Orthodox Judaism.