Wasn't that as part of the War Drums / War Crimes anyway though? Which was, as noted, partly Ms Grayson's doing.
Also bear in mind #93 was only the culmination of Tarantula's actions, she'd already been seen working with Blockbuster for more than 6 months prior to that, setting bombs, ruining Dick's relationship with Barbara and so on.. which makes anyone wanting to use her as a newbie hero a little baffling, and she was never the most... subtle of characters in that respect.