Maybe. The damages are very limited. It would have been a better practice to send the group an email without other people's information.
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That was just pure stupidity on the part of the therapist. You should complain in writing about this so it does not happen again, and ask the Center for whatever compensation you think is due you. A lawyer's letter should have great impact. However, be careful if you really like the therapist in terms of her relationship with your child because reporting this could get the therapist fired or transferred off you case. Unfortunately, you can't unring the bell but you can hopefully stop this from happening in the future.