You hear about how adopted children are more similar to their biological parents than their adopters. You hear about how talent is passed down in a family. You hear about sons who are like their fathers and go on to have sons who are like themselves.
I see characteristics of my parents I consider unpleasant in myself. What's frustrating about it is that they take the form of an instant, initial reaction to things - even if I say, oh no, I shouldn't react that way, I can't change the fact that I reacted that way in the beginning.
Who you are is not set in stone! Don't worry about the crap you hear about talent, genes, etc.
Music is about optimism! You have to be optimistic that you can improve, that you can learn what you want to learn. You have to believe that you can change who you are. To be a musician is to grow yourself every day. Each day you have to fight against the drive to do nothing, to be lazy, to waste time. Those things will not help you to grow into a bigger, better person. Music will help you!
It is very easy to have an initial reaction to something (often a negative one). It is harder to really understand your reaction, and explore why it was negative. It's good to try and expand your taste... eat healthier food, do more exercise, practice deeper, discover composers you have neglected, learn new skills, etc. I'm not saying we have to have a positive reaction to everything... there's a lot of crap out there (ISIS, Miley Cyrus, Boulez, Monsanto) and you have to cultivate your taste and know what's good and what's bogus. But there's so much stuff I used to think was bogus that I now love very deeply (Baroque music, Classical music, South Park, vegetarian food).
Don't worry about what is 'natural'. Is music natural? I don't care. I just like it, therefore I try to perfect it, every day!