TCAS Fault
Good thought on the Stall Warn priority, PJ2, but Windshear Warn, GPWS Pull Up and GS Warn will merely silence the TCAS audio and put the TCAS in to TA, Traffic Advisory mode while the Warn is active.
IIRC, Stall Warn will not silence the TCAS, as they may go hand in hand. At any rate, it will not cause a TCAS Fault. Stall Warn could possibly take priority over the GPWS, but I'm not certain of that. I'll dig.