ZFW CTLR CONFLICT OCCURRED WHEN IFR DEP WAS CLRED THROUGH VFR TFC AT 13500 FT CAUSING CLBING ACFT TO QUESTION TFC ABOVE HIM.

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I WAS RADAR CTLR WORKING MAF LOW RADAR. ACFT #1 WAS CLBING OFF OF MAF TO 13000 FT. ACFT #2 WAS RECEIVING RADAR ADVISORIES OVERFLYING MAF 13500 FT. ACFT #1 CALLED AND I CLBED HIM TO 16000 FT. THE PLT QUESTIONED THE CLB AND I AGAIN CLBED THE ACFT TO 16000 FT. THE PLT OF ACFT #1 SAID 'DON'T YOU HAVE TFC 1000 FT ABOVE ME?' I TOLD HIM I DID AND CALLED THE TFC. I THEN CALLED THE TFC TO ACFT #2 AND HE GOT ACFT #1 IN SIGHT. I MISSED THE TFC SITUATION AND SHOULD HAVE NEVER CLBED ACFT #1 ABOVE 13000 FT. ACFT #1 DELAYED THE CLB AND AVERTED A POSSIBLE NMAC. I ALLOWED MYSELF TO GET DISTR AND DID NOT EVALUATE THE TFC BEFORE CLBING ACFT #1. I WAS VERY BUSY WITH 2 INBOUNDS TO MAF; 2 DEPS OFF OF MAF; 1 DEP OFF OF SAN ANGELO; TX; 1 IFR INBOUND TO SNYDER; TX; 4 F117'S TRAINING OVER TOP OF MAF; 2 IFR ENRTE AND 3 VFR RADAR ADVISORIES. IN THE FUTURE I WILL EVALUATE THE SITUATION PRIOR TO CLBING AN ACFT. IT IS BETTER TO LEVEL AN ACFT AT AN ALT THAN CLB INTO KNOWN TFC WITHOUT FULLY SCANNING THE TFC SITUATION.