Save yourself the drive. The Cotter's headwaters, from the tussock marshes under the Brindabella Range down to Corin Dam, sit inside a catchment where the territory prohibits fishing at all times.
It is the source country of the river: creeks draining tussock marshland, fed by snow off the range, gathering into a stream that Corin Dam holds back. The closure covers everything above Bendora Dam wall, so it takes in this stretch, Corin Dam, and the river between the two reservoirs.
The nearest open water on the Cotter starts downstream at the Bendora Dam wall: the ACT lists the river from there to the Condor Creek junction as Trout Waters, open in season. That stretch has its own page. Do not come up here with a rod.