ZTL EXPERIENCED NMAC WITH IFR ARR AND VFR DEP TFC AT HKY.

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THE BE40; ACFT Y; WAS INBOUND TO HKY. A VISUAL APCH WAS COORDINATED WITH THE TWR. THE C210; ACFT X; DEPARTED HKY; VFR; DIRECT ROC (TO THE NE). THE BE40 WAS INBOUND FROM THE N. THE C210 REQUESTED VFR ADVISORIES AND WAS TOLD TO STANDBY. I HAD JUST SAT DOWN AT THE SECTOR AND WAS RUNNING 30 MI IN TRAIL TO CLT. UPON CLRING HIGHER TERRAIN; I CLRED THE BE40 FROM 5000 FT TO 3400 FT 'RPT THE ARPT IN SIGHT.' THE BE40 READ BACK THE ALT AND SAID HE WOULD NEED AN APCH. I LOOKED AGAIN AND THE BE40 WASN'T PROCEEDING DIRECT TO THE ARPT. HE WAS GOING DIRECT TO TAWBA (4 MI NE OF HKY) WITHOUT BEING CLRED TO DO SO. I TURNED HIM DUE E TO MISS THE C210. THE C210 HADN'T EVEN BEEN GIVEN A CODE YET AND WAS NOT RADAR IDENTED. I MADE THE ASSUMPTION IT WAS HIM (NO OTHER VFR TFC) AND CALLED THE TFC. I DON'T BELIEVE EITHER ACFT SAW THE OTHER. THE BE40 NEVER RPTED RECEIVING A TCASII ALERT. I GOT THE CHANCE TO TALK TO THE BE40 PLT LATER IN THE DAY. HE SAID HE SAW THE OTHER ACFT ON TCASII AND THE WX DIDN'T LOOK VFR TO HIM.