Baggs
There is nothing weird about feeling emotional about music.
And, even if there were.... so what? It doesn't harm anyone.
Your friend is the weird one in the sense that she either doesn't want to understand or there is some reason why she can't understand.
The best response to a situation like this is a shrug.
Making you feel emotional is what music is for. Surfingdal's friend has probably never really listened to good music, played by a well-rehearsed soloist, proper band or orchestra. See poems "Alexander's Feast" or "Ode to Saint Cecilia".
A lot of pop music tends to be an incoherent noise played at full volume by several "musicians" who are none of them connecting their part with what is being played by any other, so it only generates confused and destructive emotions.
Good music of any genre has been designed with chords and sequences that lead the hearer through a series of reactions that end in resolution and completion, whether or not the composer is aware that he is doing that.