To appoint a trustee means to choose and officially name someone to manage and make decisions on behalf of a group of people or for the benefit of someone else's assets or affairs. Full definition
However, you can appoint a trustee of your choice and they must act in accordance to the terms of the trust. (jrcinsurancegroup.com)
Your case will then be assigned to a court appointed trustee. (debtfirms.com)
Once their plan is accepted, the couple will begin making payments to a court - appointed trustee who will be responsible for monitoring their progress and conveying the money to the creditors. (debt.org)