APCH CTLR INADVERTENTLY ISSUED THE WRONG CLRNC TO AN INBOUND LGT AND HAD LESS THAN STANDARD SEPARATION WITH A DEPARTING ACFT.

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ARRIVING IN THE DFW AREA AND ASSIGNED THE SCURRY 9 ARR TO DFW. AFTER XING SCURRY WE STARTED TRACKING THE 296 DEG R TO GLADD INTXN AND DSNDING TO 11000' AS ASSIGNED BY APCH CTL. PRIOR TO GLADD; APCH GAVE US A 260 DEG HDG AND DSCNT TO 5000'. ACKNOWLEDGING THE HDG AND ALT WE STARTED THE DSCNT ON THE NEW HDG. OUT OF 8200' THE CAPT AND F/E SAW THE MLG Y CLBING FROM RIGHT TO LEFT AND THE CAP AND I INITIATED A CLBING RIGHT TURN TO AVOID THE ACFT. APCH CTLR THEN TOLD US TO REJOIN THE 296 DEG R AND CLB TO 11000' SAYING WE HAD FOLLOWED ANOTHER ACFT'S INSTRUCTIONS. APCH AND LNDG TO DFW AFTER THIS WAS NORMAL. UPON REVIEWING THE TAPE APCH CTL SAID WE INDEED DID RECEIVE THE INSTRUCTION AND ACCORDING TO THE TAPES THE CTLR HAD ISSUED THOSE INSTRUCTIONS TO US. WE WERE NOT AT FAULT AND THE APCH CTL SUPVR SAID THAT APPROPRIATE ACTION WOULD BE TAKEN AGAINST THE CTLR. SUPPLEMENTAL INFO FROM ACN 97404: WE WERE CLRED (OBVIOUSLY IN ERROR) TO 6000' AND TO TURN TO 260 DEGS. WE SPOTTED AN MLG Y; RIGHT AFTER ATC TOLD US TO CLB IMMEDIATELY TO 11000' AND TURN RIGHT. WE TOOK APPROPRIATE EVASIVE ACTION AND THEN COMPLIED WITH ATC. I WOULD NOT JUDGE THIS TO BE A NEAR MISS.