Are any of you Teachers ? Or ex teachers who have worked since social media became part of every day life?
I had a similar issue with DSD's school, the PE teacher (female) seemed way too familiar with the pupils, she'd tell them about her boyfriend troubles, I'll mother, friend them on Facebook.
So I checked with my teacher sister and she said that it was not against guidance to be friendly with pupils, and having social media contact with them is not forbidden. She said its perhaps unwise to share too much personal information in case it's used against you but especially with older pupils it is about engaging with them, finding out what interests them and trying to make teaching relevant.
I agree the head on shoulder thing is a bit odd, but if this was in full view then it's not a clandestine moment of intimacy. Just perhaps a misjudgement on the part of a young teacher. And music teachers do tend to be much more friendly, music is a more friendly subject.
As for complaining to the school, be mindful of the impact you may have on that teachers career just because you heard something by hearsay.
As a cas in point, one of the teachers both my kids loved at high school was forced to change school. He had set up a facebook group to share information about a school trip he was running, one girl posted a lot of questions about the trip, and he replied about the trip. Now this was all in public, and all in context, however someone complained he and a pupil were exchanging messages on Facebook and the stigma of the complaint and the fact the council had to investigate drove a very good teacher from his school.
Now this music teacher is not asking the girl to stay after school for extra tuition, and he's not initiating the head on shoulder thing. He may well have been taken aback by the whole thing and didn't know what to do for the best.
But you've jumped to a conclusion. Based on what your daughter has decided to tell you. And why? Is she perhaps a little keen on this teacher and jealous of the older girl? Have you asked her?