The Court doesn't like parents who unilaterally make major long-term decisions without consulting with the other parent first, but it's more of a 'persuasive' issue than one that can be picked up with a contravention order - basically, a failure to engage shared parental responsibility will support your case, but it might not warrant a separate contravention application.
My husband's ex-wife enlisted a psychologist for my stepdaughter for 'behavioural issues and anxiety' with no consultation. My husband contacted her solicitor and outlined in very clear terms why he did not consent to the treatment, and on being notified of this information, the psychologist contacted my husband directly because without his consent, the treatment couldn't proceed. My husband decided to attend the appointment with both his ex and his daughter, and it became very clear very quickly that the mother was looking for a report from the psychologist that supported a reversion to the draconian 'every second weekend' regime, or alternatively, that the issues could only be resolved if 'they spent more time together' - as in, my husband and his ex-wife.
The whole process turned into a shambles. My husband attended three appointments: one with his ex-wife, one on his own, and one with me on the psychologist's suggestion after the ex-wife complained at length about me. When I attended, the ex-wife told the psychologist that if I attended any more appointments, she would not be taking my stepdaughter to treatment any further. It became clear to everyone, including the psychologist, just what the intent of this latest charade was. After all, how concerned could the mother really be about these supposed 'issues' if she refused treatment simply because I, the step-mother who cares for this child 50% of the time, was included in the child's treatment regime?
What I'm getting at is that your partner shouldn't exclude himself from this latest scam. To the contrary, he should invest himself with as much finesse as is possible from afar. Contact the counsellor and find out what the story is directly from them. It's unlikely they will provide information about the sessions with the child because trust is a mandatory part of any psychologist's duty to his patient, and informing the parents of any discussions is a breach of that trust, but it's worthwhile providing your contact information and expressing a desire to be involved.
If the mother continues on the path of telling the daughter she was abused when she wasn't, then you have grounds for pursuing court. Really, you should have done that already, but that's just my opinion.