2 SMT DSNDING INTO GSO; NC; AIRSPACE HAVE A LESS SEVERE NMAC AS A RESULT OF A CTLR ERROR.

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L SEAT PIC WAS FLYING THE ACFT. RECEIVED GARBLED XMISSION FROM GREENSBORO APCH CTL ON 118.5 MHZ TO 'MAKE AN IMMEDIATE R TURN TO HDG 180 DEGS.' SIC ASKED FOR CONFIRMATION THAT THAT XMISSION WAS FOR OUR ACFT. THE FEMALE CTLR RESPONDED 'AFFIRMATIVE. MAKE AN IMMEDIATE R TURN TO 180 DEGS.' AT THE TIME; WE WERE HDG 105 DEGS IN A GRADUAL DSCNT THROUGH 5300 FT FOR 5000 FT ASSIGNED. PIC IMMEDIATELY DISENGAGED THE AUTOPLT AND ROLLED INTO A RAPID 45 DEG ANGLE OF BANK TURN. PIC SIMULTANEOUSLY LOOKED OUTSIDE TO CLR THE AREA FOR THE TURN AND IMMEDIATELY NOTICED ANOTHER ACFT (BEECH BARON) TURNING TOWARDS OUR ACFT. PIC IMMEDIATELY STOPPED THE TURN TO AVOID ANY FURTHER CONFLICT WITH THAT ACFT AND HEARD THE PLT OF THE BARON SAY TO THE CTLR 'YOU JUST TURNED US INTO ANOTHER ACFT.' HAD WE TURNED AS SOON AS WE HEARD THE FIRST XMISSION; THE SEPARATION BTWN THE 2 ACFT WOULD HAVE BEEN FAR LESS. AS IT ACTUALLY HAPPENED; WE WOULD HAVE PASSED BEHIND THE BARON BY ABOUT 1/2 MI HAD WE NOT SEEN THE BARON AND COMPLETED THE TURN TO 180 DEGS. PAX WERE CONCERNED ENOUGH TO ASK WHAT HAD HAPPENED. 1 PAX SAW THE BARON AS IT PASSED US TO THE R. SUPPLEMENTAL INFO FROM ACN 382761: GSO APCH CTL GAVE US AN IMMEDIATE R TURN TO 180 DEGS. I WAS UNSURE I HAD HEARD CORRECTLY SO I ASKED THE CTLR TO REPEAT; WHICH SHE DID. AS WE BEGAN OUR TURN AN AEROSTAR FLASHED BY OUR R SIDE; HE WAS ALSO IN A R TURN. WE HEARD HIM SAY TO THE CTLR 'YOU TURNED ME RIGHT INTO THE OTHER PLANE' MEANING US. A NEW CTL VOICE CAME ON AND WE RESUMED OUR HEADING TO IGX. AFTER LNDG WE CALLED GSO APCH ON THE PHONE; AND THEY ACKNOWLEDGED SHE TURNED OUR PLANE AND THE OTHER PLANE INTO EACH OTHER INSTEAD OF AWAY FROM EACH OTHER. THEY SAID THE CTLR HAD RELIEVED HERSELF OF DUTY; AND AN INVESTIGATION HAD STARTED. I'M GLAD I DELAYED TO QUESTION THEM BEFORE TURNING.