It sounds like you are hooking it up correctly (purple +12v to terminal A and Tan/Black ground to terminal D), but you have a dead short somewhere.
There should not be anything wired to terminal B or C. If you put +12V to these terminals, there is a very good chance of blowing a fuse as it is connected.
With the TCC connector disconnected, probe terminal A (both on the tranny and in the wiring harness) with a multimeter checking for continuity with a known good ground. Neither should go to ground. If either does, that is the portion that has the short.
Do the same for terminal D. Again neither should go to ground (the ecm supplies the ground to lock up the TCC), if either does then something isn't correct in this portion either (but wouldn't cause you to blow fuses).
[This message has been edited by fieroguru (edited 12-20-2010).]