What's weird is that I am not really worried about the plane falling. I also get scared walking across a bridge, even though I know it is perfectly safe. I think it will get better with more time.
I freak out on the top level of parking garages looking over the edge--and the ledge is up to my neck...still think I am going to fall over somehow.
The point is, fear is normal--you will (and I have) experienced it throughout my flying and at 950 hours, I get scared sometimes.
The key, is to discipline yourself to revert to your training when you are scared; after a while, your "consiousness" pokes through your fear and you realize "Hey! I can do this" and then you start looking for other challenges.
Aristotle (Socrates...who knows) said, "You become brave by doing courageous things."
Stick with it, you will be fine and at the other end, you will have a deep sense of well-earned accomplishment.
Let me give you another example--I have a lump in my gut over recovering from being inverted--I haven't done it, need to do it and am "nervous" about doing it, but will do it, because it will make me a better pilot. I have never done an accelerated stall--and I have the same nervousness you do about it. I will seek out a qualified instructor and learn to do it.
My point is, its learnable and the fear is manageable and by working through it you become something special--a pilot.