Translation:She does not have the experience of writing a book.
I asked my indonesian husband about whether this is supposed to mean a one off "experience" or "experience" gained over time. He said it was the latter. So it doesn't make sense to use "the". "She does not have experience writing books." Would probably be better.
This sounds the most natural to me.
Or "She has no book writing experience".
Could even phrase it so that she has no "experience IN writing books". Instead of "of".