There's a peculiar book out there by Oliver Sacks called "Musicophilia". He describes in it various cases of musical deafness including tone deafness and rhythm

There's a peculiar book out there by Oliver Sacks called "Musicophilia". He describes in it various cases of musical deafness including tone deafness and rhythm deafness. In reality true cases are quite rare, so I believe most people can develop their "ears" to be able to appreciate music the way you can. I think the mission of every musician whose audience includes large number of people without a proper musical training, is not just to make them love you, but also get them interested to explore music further. I remember how Sting did that for me. I liked his image as a person and after visiting his performance I started listening to all of his records and playing bass guitar and drums (aside from playing classical guitar). Then I noticed how he really switches to different styles at different times of his career and how his songs sound noticeably different. That led me to exploring jazz and classical music further. And though I quit practicing music for now, I really believe that it was Sting's biggest impact on me that helped me to start appreciate music and developed my tastes.