When I was 19, I was lucky enough to be allowed to learn to fly in one of her majesty's aircraft. With all the safety equipment that she could offer, fire proof clothing, bone dome, parachute, life jacket etc, one would have thought that I should have felt safe. Alas I did not. When a couple of aircraft went in during my time, I felt even less safe. We didn't talk about our fears, just tried to understand what we could do to avoid such a situation. It wasn't until I was ten years older and wiser and paying for my own flying that I overcame those fears. In theory I was less safe. First time across the channel, single engine is always, I would argue, a good test of nerve. Some people never get over their fears. If it interfers with your learning and enjoyment ,it may not be worth continuing. It is only something you can decide on.