MISSED APCH AND VECTOR TO BVT HOLD WITH 50 MIN DELAY. MIN FUEL AND EMER DECLARED.

Narrative

I WAS INBOUND IFR TO LAF WHEN I WAS INSTRUCTED TO HOLD AT BVT DUE TO PRESENT TFC. BEFORE I ENTERED THE HOLD; LAF APCH CLRED ME DIRECT TO EARLE (LOM) FOR THE ILS APCH. WHEN I GOT OVER EARLE; I HAD A DIFFICULT TIME ESTABLISHING OUTBOUND FOR THE PROC TURN SO I REQUESTED BACK TO BVT (VOR) TO RETRY THE ILS RWY 10. LAF APCH TOLD ME TO CLB TO 6000 FT AND RPT 4 MI NW OF BVT (VOR). I REPLIED AND WENT 4 MI (DME) NW OF BVT. THE NEXT INSTRUCTIONS WERE FOR ME TO HOLD AGAIN ON BVT AND EXPECT AN EFC TIME OF XB05 PM LCL WHEN THE PRESENT TIME WAS ABOUT XA10 P.M. I WAS DOWN TO ABOUT 32-36 MINS OF FUEL LEFT AND I WAS SHAKEN UP A LITTLE DUE TO MESSING UP THE ILS APCH. I KNEW I DIDN'T HAVE THE FUEL TO HOLD SO I CALLED LAF APCH AND DECLARED 'MINIMUM FUEL' AND AN EMER. SECONDS LATER; I WAS TRANSFERRED TO ZAU AND I ASKED FOR A VECTOR TO THE ILS. ZAU VECTORED ME IN FROM ABOUT 3 MI OUT FROM EARLE (LOM) AND I COMPLETED THE APCH INTO LAFAYETTE RWY 10. APPARENTLY; I HAVE BEEN INSTRUCTED TO FILE THIS RPT BY MY FLT INSTRUCTOR DUE TO AN EVENT OF AN ACFT THAT TOOK OFF UNCLRED WHEN I WAS GIVEN PRIORITY. IT HAD ABSOLUTELY NO EFFECT WITH MY FLT.