A321 #2 ENG EXCEEDED MAX TEMP DURING TAKEOFF AND ENG WAS SHUT DOWN. FLT CREW RETURNED FOR UNEVENTFUL OVERWEIGHT LNDG.

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ENG #2 EGT EXCEEDANCE DURING TKOF AT GEAR RETRACTION. ECAM PROC COMPLIED WITH WHICH RESULTED IN THE SHUTDOWN OF THE ENG AND A RETURN FOR LNDG. WE HAD A WARNING ANNUNCIATOR ON GLARE SHIELD FOLLOWED BY A CHIME AND AN ECAM MESSAGE. #2 ENG EGT INDICATED AN OVER-TEMP - RED - CONDITION. WE COMPLIED WITH APPROPRIATE CHKLISTS: A) AFTER TKOF; B) ECAM ACTIONS; C) DSCNT/APCH; D) LNDG. NOTIFIED ATC THAT WE WERE SHUTTING DOWN 1 ENG AND WOULD LIKE A SLOW VECTOR BACK TO ARPT. I WAS VERY BUSY AS THE PNF COMMUNICATING WITH ATC; FLT ATTENDANTS AND PAX AND RELOADING THE FMC FOR A RETURN TO ARPT. ADDITIONALLY; I QUICKLY CHK THE QRH FOR AN OVERWT LNDG AS WELL AS THE LNDG DISTANCE REQUIRED. INCREDIBLY; ALTHOUGH I CONSIDERED THIS AN EMER WHETHER I HAD TO SHUT DOWN THE ENG OR NOT; I MAY HAVE OVERLOOKED THE OBVIOUS: DECLARING AN EMER WITH ATC! NEVERTHELESS; THEY WERE VERY ACCOMMODATING AND GAVE US EXCELLENT VECTORS BACK TO THE ARPT. THE APCH; LNDG AND TAXIING TO THE GATE WERE UNEVENTFUL. EVERYTHING WENT JUST LIKE A TYPICAL SIMULATOR RIDE EXCEPT THAT I OMITTED TO DECLARE AN EMER. I DON'T KNOW WHY; I HAVE ALWAYS BEEN TRAINED TO DO SO. ALL I CAN THINK OF IS THAT ALTHOUGH WE DIDN'T HAVE AN ENG FAILURE; THE ECAM CALLED FOR A SHUTDOWN OF AN ENG THAT WAS OPERATING NORMALLY. IT WAS TEMPTING TO KEEP THE BAD ENG AT IDLE FOR THE RETURN TO FIELD; BUT THE PLANE WAS FLYING FINE AND I FELT THAT WE COULD CONTINUE ON ONE ENG. IT DID CROSS MY MIND THAT IF I DID NOT SHUT DOWN THE ENG; ADDITIONAL FAILURE MAY OCCUR. SO MANY THINGS TO CONSIDER WHILE ALSO TRYING TO MONITOR WHAT THE PF WAS DOING THAT I OVERLOOKED THE MOST OBVIOUS SOURCE OF HELP BY NOT DECLARING AN EMER WITH ATC. SUPPLEMENTAL INFO FROM ACN 754311: TO CORRECT THIS 'DECLARE EMER' SHOULD BE ON THE ENG SHUTDOWN CHKLIST.