Before you play, close your eyes and take some time to create a great interpretation in your head and then make it the goal of your practicing. Try to reproduce the great performance that you came up with in your head. This require a great deal of imagination and creativity and by creating your own musical ideas, you truly become an artist no matter at what level you are and it will make your performance authentic.
At the end, it's impossible to please everybody but you can be sure that you'll be respected for trying something and having the guts to perform it in front of an audience. Some people will love it, some people will hate it and the truth will be somewhere in the middle. Someone once told me "I don't like what you did but I respect the fact that you did something". Trying is always a risk but you'll never get anywhere if you don't try anything.
Instead of copying other people, why don't you become the one that people want to copy?