a couple of years ago I was in the same situation - curious about aviation safety, but left with the feeling that I needed some qualification before I could knock on our safety department's door.
I started to study towards a Bachelor's degree at Embry-Riddle with a minor in Aviation Safety.
Bachelor of Science in Professional Aeronautics, Worldwide , Embry-Riddle
Aviation Safety, Worldwide , Embry-Riddle
The study is done completely online. It requires, however, that you can spend about 8-15 hrs per week per class you are taking. Also, in order to get the degree, you will have to take a lot of classes that are not strictly relevant to safety, e.g. Math. I found their safety-related classes quite good and it helped me get job in safety.
Alternatively, you could also go straight for a graduate degree at City Universtiy London.
Air Safety Management | City University London
PM me if I can be of any assistance.