Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 6
Communication Breakdown; Distraction; Situational Awareness
ATC Issue All Types; Conflict NMAC
Air Traffic Control Provided Assistance
Human Factors
I was working East radar and took a handoff on Aircraft X. This was immediately followed up by a call from the sector advising me of traffic 20 miles ahead at 10300 ft. about 3 miles East of LBV. This traffic was NW-bound and would not be a factor. The sector advised me that Aircraft X was released for lower. After I got off the line; LBV sector called me to coordinate with an arrival that was going south of a prohibited area and coming towards my airspace. We had a back and forth on the line when I suddenly realized that Aircraft X and the VFR traffic were a factor. I immediately hung up and issued a traffic alert with a left turn. Aircraft X advised that they responded with a turn and descent. I was able to review the tapes and the VFR aircraft flew passed LBV at 10300 ft. made a left 360 degree turn back into Aircraft X; causing a NMAC.1) I should have told the Center to descend Aircraft X to 8000 instead of taking the information that he was my control. I also; should not have gotten distracted with a pointless coordination of an aircraft that never got in my airspace.
RSW TRACON Controller reported NMAC with an airliner and a VFR aircraft due in part to being distracted.