I agree that the aircraft should not have gone until the situation was resolved.
Was the DOI / DOI wrong in the first place?
How big was the error as if within limits an LMC adj could have been made.
The gate dispatcher showed inexperience by letting the aircraft go without calling on supervision / Duty Manager to attend.
Was it one of these airlines with their own PSR and if so, could they not have assisted as they do know everything!!!!!!!!!!
Simple way to reslove. Inform your manager and get it reported to the airline formally. Just imagine if it was the other way round. Do you think the driver would have gone on the Pprune to ask advise.. no way, flight report filled and your head on the chopping block.
All dispatch staff, remember after a bad flight, never let the bu**ers get you down.