Nice playing! I can hear elements of jazz, but mainly classical, especially in the left hand. I think it sounds quite unique and I haven't heard Tenderly played this way before :D
As a jazz pianist myself I can advise if you want to have more of a jazz influence in your playing, you should start listening to loads of jazz pianists and transcribe what they play and try to perform with the recordings. You will develop more 'feel' in your playing.
Also, get your hands on The Jazz Piano Book by Mark Levine.