Instagram does not send a notification to users when someone follows or unfollows them. So, if you accidentally followed your therapist on Instagram and then quickly unfollowed them, they most likely did not receive any notification about your actions.
Instagram's notification system primarily focuses on interactions like likes, comments, and direct messages, rather than informing users about changes in their follower count, especially when someone unfollows them.
However, it's important to remember that while your therapist may not have received a notification, it's always best to maintain appropriate professional boundaries and privacy in your therapeutic relationship. If you have concerns about this incident or if it creates any discomfort, it's a good idea to address it during your next therapy session and openly discuss any feelings or thoughts that arose as a result of the accidental follow. Your therapist can provide guidance and support to navigate any related issues or concerns that may have come up.