What does this court jargon mean?

It sounds to me like you are quoting language related to a motion to intervene in the action by a third party. If that is the case it means they are granting the third person the status of a party in the litigation because they have a legal interest in the outcome and their rights cannot be protected if they are not a party.

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“That by virtue of the temporary custody order entered on ( ), which concluded that it was in the best interest of the minor child to be placed with ( ), ( ) has obtained an interest in the outcome of this litigation, her interests are inadequately represented and she would be greatly prejudiced if her motion were denied.”

…The judge should feel sorry for her because she has a legal aid attorney??? She should win just based upon that??