TRAINEE ON A COMMUTER MDT LOST ACFT CONTROL AND FAILED TO FOLLOW GO AROUND CLRNC.

Narrative

THE ACFT WAS OPERATED AS A TRAINING FLT IN ORDER TO PREPARE A NEW HIRE F/O CANDIDATE FOR THE S.I.C. PROFICIENCY CHK. WE WERE ON AN IFR CLRNC AND WERE IN THE PROCESS OF DOING MULTIPLE NON-PRECISION APCHS ALONG WITH MISSED APCH PROCS. THE APCH WE WERE DOING AT THE TIME OF THE EVENT/SITUATION WAS THE VOR RWY 12 APCH AT ALO. MY STUDENT WAS HAVING TROUBLE WITH NON-PRECISION AND SINGLE ENG MISSED APCHS ON THE PREVIOUS LESSON. APCH CTL ISSUED AN AMENDED MISSED APCH CLRNC; WHICH WAS A L TURN TO A 360 DEG HEAD AND CLB TO AND MAINTAIN 2900' MSL. ON THE FINAL SEGMENT OF THE APCH; MY STUDENT GOT WELL BELOW MIN SPD. THE LARGE APPLICATION OF PWR TO CORRECT THIS RESULTED IN A YAWING ACTION TO THE R (ONE ENG SIMULATED FAILED) WHICH THE STUDENT FAILED TO CORRECT WITH RUDDER. AT THE MISSED APCH POINT; THE STUDENT DID NOT COMPLY WITH THE AMENDED MISSED APCH CLRNC. AS A RESULT; WE DID NOT TURN L; WE WERE STILL TOO SLOW AND YAWING SLIGHTLY TO THE R. THE ACFT WAS RAPIDLY COMING IN CONFLICT WITH ACFT IN THE LCL PATTERN ON A DIFFERENT RWY. I GOT THE ACFT IN A SAFE CONFIGN AND IN COMPLIANCE WITH ATC INSTRUCTIONS. I ALLOWED THE STUDENT TO GET INTO THIS SITUATION FAR TOO DEEPLY. BY LETTING THE STUDENT 'DIG HIMSELF A HOLE;' I JEOPARDIZED THE SAFETY OF OTHER ACFT AS WELL AS MY OWN. I SHOULD HAVE MISSED THE APCH MUCH SOONER. I MUST BALANCE REALISTIC TRAINING WITH SAFETY AND CONSIDERATION OF OTHER ACFT.