"reasonably satisfied" is not a criminal law standard of proof. It could have been a family law natter, or a guardianship board hearing.
Considering the fact that the allegations were rejected, I would say that "reasonably satisfied" was a criminal law standard of proof for that particular judge.
Yes, it could have been a family law matter or any other court matter including Criminal we don't know, but the fact is these allegations were considered by a judge in a trial/hearing.