As SmileLess said, she asked a question, and you answered. I would ask her flat out, what would she expect you to say, anticipate her (yet again) hurt feelings and faux outrage, so tell a lie?
Or ask her if perhaps she could write a detailed essay how she wants you to run your life, so clarifying how you might move forward with her permission?! [Grams2five says very similar]
NB >> I'm unfamiliar with 'Art Psychotherapy'. My first guess was that it meant working out why Monet painted so many flowers, or what Dali might have had in his head when painting those weird images? Etc etc.
But I was moved to check out a course 'prospectus', and I see I was on the right lines! From one module I found this text :- "Students will be expected to develop an advanced capacity for self-reflexivity and awareness of their own role in the therapeutic relationship. Students will also have the opportunity for self-reflection through art making processes in independent studio time.".
So, Hannah, have a look at some Picasso, or perhaps a Rothko or two (big lumps of colour, a bit like stripey flags, on the ones I've seen, a doddle), so you can dash off a few pics for analysis?!
I was always totally hopeless at drawing, and art, unless it was something using a set square and template, diagrams and the like! So it's odd that I now get a lot of pleasure from seeing some of history's great artists, we've been lucky enough to see the likes of Brueghel, Bosch, Holbein, Gaugain, Rembrandt, Renoir, Van Dyck, Rubens, Turner, etc in various galleries round Europe, I wonder if they ever thought that 'art psychotherapy' might be a 'thing'?!