Dec. 25 was chosen to go along with a pagan celebration already occurring in England. "Christians" wanted some big celebrations like the Jewish people had. Yeshua (Jesus in Hebrew) was actually born around Oct 3 by our gentile calendar, which is actually the first day of the year on the Jewish calendar. This first day changes over time on the Jewish calendar, but always in Sept-Oct on the gentile calendar.
Easter is also often on the wrong day. It is supposed to be during Passover, when Yeshua was crucified. But the gentile calendar re-arranges it. Easter was named after Ishtar, who was worshiped by the pagans. Once again a pagan holiday, on order by Constantine. Constantine hated the Jews immensely. BTW, Martin Luther was very anti-Semitic too.
It is VERY important that as Christians we recognize our Jewish roots. I recommend a quick, easy to read 39 page book "Why Christians Should Care About Their Jewish Roots" by Nancy Petrey. Genesis 12:3 is crucial!!!!!!!