Air Traffic Control Fully Certified
Workload; Situational Awareness; Distraction
ATC Issue All Types; Aircraft Equipment Problem Critical; Deviation - Track / Heading All Types
General Declared Emergency
Human Factors
I received a hand off from [Center] on a Cessna 421 out of 10;000 feet. Center advised me he was an emergency with a 'shaky left engine' and requested the nearest airport; which was ZZZ. I approved 3;000 feet. Center gave him a right turn to; I believe; 110 but the pilot turned left which put him tight to field with a lot of altitude and speed left to burn off. When he checked on; I turned to a 080 head which would set him up for base to a 3 mile final. Out of 5;000 feet; the pilot asked where the field was and I pointed it out to him. I also told him about ZZZ1 airport which is close by so he wouldn't get confused. I advised the pilot of the ceiling and turned him on a 3 mile final and descended him to my MVA. The pilot overshot the final and I had to give another turn back which was good because he was still very fast. He told me had the field in sight and I cleared him for the visual approach and asked the Tower if I could clear him to land; which was approved. The aircraft landed very long; on the last third of the runway. I should have asked the pilot if he would rather set for a long final or if he wanted a vector for the field.
TRACON Controller described an emergency event involving an aircraft with a rough engine needing to land immediately; the reporter's self critique indicated that he should asked more questions regarding final spacing.