。
She said she was satisfied with her life.
Literal
She [topic-は] own life [to-に] satisfied-is [quotative-と] said.
自分の人生に満足している (is satisfied with one's own life) uses に to mark what she's satisfied with. 満足する (to be satisfied) is the standard verb for contentment. と言った frames this as reported speech. 自分の (one's own) emphasizes personal ownership of the life she's evaluating — it's her life, and she's content with it.