Is it normal that i am afraid of deep water

I am terrified of water when it starts reaching over my chest, I almost drown in the ocean when I was a wee girl, and never have I learned how to swim, so here is the weird question, is it normal to be terrified of deep water, if i even see it on TV? like the discovery channel when I see a whale flipping in the middle of the ocean, or his tail going down into the ocean, i quiver and feel i want to throw up and I HAVE to look away. so, is that normal? I even got a little scared when I saw Finding Nemo (amazing movie by the way) when they were at the drop off :/