So realistically, if we did just Deprive on you, you would still be able to cast GIVA/Doubles/IU without any trouble.
If we somehow managed to land Plunder on you, which is highly unlikely due to Traders godawful nanoskills and a 130% check, you'd still be more than capable of annihilating a Trader with Gelid/ESA. But it would never reach that point since it would take about 8 or so casts to even land Plunder, during that time you'd alpha us.
Where exactly does a Trader wreck an NTs toolset again?