First,the two words are irrelevant. So you don't need to consider it hardly!
安全 is safe ,or safety security. you can say " I'm safe , now!" That means "我现在是安全的“
安然 is a condition of your heart or your life. You can say" I have a quiet life". That means "我有一个安然的生活 or 我生活安然“. Or my heart is calm . 安然 means something or someone hold themself , they haven't been disturbed by outside!
My english is not very good! Hope, it is useful for you!