I definitely see what you mean - having her write while you just watch is a waste of time and money. However, there's more to writing than just physical writing. You could start teaching the strategies good writers use when they write, like re-reading, re-arranging words in a sentence, drafting, editing, checking your facts against a source, comparing your writing with a model, etc.
I've tutored adults in writing, and what I normally do is set them a writing task for homework. They go away and write it, then we meet the next session. Next session we go over their writing and I ask them things like 'what did you want the reader to learn from this sentence?' 'what feelings do you want the reader to experience as they read this section?' etc. I also narrate what I am thinking as I read it, so for example: 'here, when I read this sentence, I wonder what you mean by 'low-quality', I'd like some examples of that', or 'this part makes me feel sad, was that your intention?'
We also look at different models of writing, for example a set of really good introductions, a really persuasive argument, or an essay with a very clear structure. We look at how the writer achieved those things. Then the student goes away and revises their writing in light of my feedback and what they have learned from looking at other people's writing.
Hope that helps, good luck!