The tree thing has nothing to do with Christianity.
It’s just another pre-existing tradition (from the Roman Mithras-cult), that was co-opted to ease people’s adoption of the new religion.
The Mithras cult did not have any particular attachment to trees, you are probably confusing it with Saturnalia. But even then people did not bring a single solitary tree in, Saturnalia was celebrated by decorating rooms with many evergreen plants and branches as was common in a lot of winter solstice celebrations. The act of bringing in a single evergreen tree and decorating it came much much later, medieval times.