I may have the facts confused, but here's what I gather from your OP:
1) Plan Received DRO for amount (X) to be separated from participants account.
2) Plan Administrator Qualified DRO; now a QDRO for X amount.
3) Those funds, "X", have been separated from the participants account and are not longer reflected in the participant's account balance.
Given 1, 2 and 3, your question is how long does the participant have to wait for receiving a distribution in light of something that is going on with the Alternate Payee.
If my facts are correct, as stated, then the participant should be free to take a distribution under normal terms of the plan as it would appear the QDRO process (as it pertains to the participant) has been completed.
Good Luck!