I only know about her supervision on friday because we looked into booking a session this week and she mentioned being out of town for dbt training. As her supervision is part of the training I put 1 + 1 together....

She never went into details when talking about her supervision, it actually only happenned twice. The first one was a couple months ago, about the moving out situation and she only mentionned it because she felt she had made a mistake as she didn't realize how much still living there has an impact on my daily life. The second time was last session and she only said something quick like: my supervisor also thinks your horses are a major ressource in your life. And that was after talking about my suicideal ideations and saying I'm fighting for my horses...

So I doubt this is too much out of the ordinary, but still makes me feel self-conscious. And no, can't find out who her supervisor is.