What if it was actually borrowed from the pagans? Before pagans stole December 25th for their vile practices, the day was God's. Every day of the year is God's. Even the sun which was worshipped as a god by pagan nations was also used by God to represent Christ (Malachi 4:2).
Was Christ's arrival on earth as God in the flesh a bad thing? Of course not! So then to celebrate it on what was once a pagan holiday is irrelevant. Christmas is Christian. Some people keep their Christmas like pagans with drunkenness and debauchery, but we Christians celebrate the birth of Jesus Christ. May your Xmas be one filled with every blessing!