How sad to read what you've been through, I was afraid to show my art too as a teenager, but it wasn't because of bad experiences. Yes, I recived bad comments from my parent about other stuff (how I dressed, how I looked, my grades, etc.), but never because of my art.
I worked as an Art teacher in a high school and I saw so many talented kid afraid to how their art and I felt so related. I suggested them to put them online, is easier to show your work to someone you don't know irl, but you can't stay like that for too long. It is good at first, but later, your family and friend will notice and that's when you have to decide if you want to keep it as a hobby or if you want to work as an artist. If you decide the second, then you need to get out of the shell and be prepared for any kind of comments. I've saw teacher at university literaly cutting in pieces the works of my classmates, saying is trash. They were bad teachers, of course, but we all have to be prepared for that, as artists we can't keep hiding forever from bad or hurtful comments, it's part of the job. The sooner you get used to that reality, the better.
It is true that you will be more vulnerable to bad feeling at 13 or 14 years old, because poeple DO get more emotional in those years, but is importat to realize that and don't get trapped in those bad feelings forever. When you get to 16 year or older, it's time to show yourself to the world, and so your art. One of the worst thing I've felt is regret, and I really regret being afraid to show my art as a teenager, when I had more spare time and I had fresh ideas. 10 years later I'm finally publishing my old stories.
Some people never do it.
