I wouldn't call it a disorder, unless it significantly affects your life. Not enjoying music or not being able to produce music is known as "amusia". It probably has to do with differences in perceiving pitch . It can also occur in people with recently fitted hearing aids or cochlear implants .
If you are interested in this, there is a chapter about cases of amusia in Oliver Sack's book Musicophilia .
 Liu F, Patel AD, Fourcin A, Stewart L. (2010). Intonation processing in congenital amusia: discrimination, identification and imitation. Brain. 133(Pt 6):1682-93. doi:10.1093/brain/awq089
 Cooper, W., Tobey, E., & Loizou, P. (2008). Music Perception by Cochlear Implant and Normal Hearing Listeners as Measured by the Montreal Battery for Evaluation of Amusia. Ear and Hearing, 29(4), 618. doi:10.1097/AUD.0b013e318174e787