How Protestant. But the calendar is important, even if you don't acknowlege that. Creation reflects its creator and the calendar puts the liturgy in sync with the cosmos. The Church knew this from the beginning. That is why, for instance, we (including you) celebrate the Nativity at midwinter or the Annunciation nine months earlier. If you think it's all bollocks then may I suggest celebrating the Nativity during the summer.
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Bad choice, AD-O!
Most scholars - even Orthodox scholars - agree that the winter solstice was a cynical political move to trump the pagan Saturnalia by the political priests in the nascant Empire church.
The Incarnation probably happened in February March - or September, at the outside.
When you get right down to it, the only semi-fixed observance in the 'Christian year' is Easter - and the Church can't even get that right (and, as I understand it, various Orthodox churches are as confused as the rest of us)
It doesn't matter a bean when the Nativity happened.
All that matters is that it happened.
Dates were given to try and keep the semi-literate in line, denied as they wwere the joy of reading Scripture for themselves by a church frightened they would see the flaws in 'tradition'.