B737 FLT CREW; DURING PREFLT; IS INTERRUPTED AND INTERFERED WITH IN THE COCKPIT BY THE CUSTOMER SVC AGENT. THE FLT CREW FELT PRESSURED AND WERE CONCERNED WITH THE AFFECT IT HAD ON THEIR PREFLT DUTIES.

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WE ARRIVED AT THE ACFT IN TIMELY MANNER AND WERE COMPLETING OUR PREFLT DUTIES. THE FO FOUND WHAT APPEARED TO BE A HYD LEAK ON THE R WING FROM THE LOWER AFT EDGE OF A LEADING EDGE SLAT. WE CALLED MAINT WITH THE PROB TO COME OUT AND LOOK AT IT. I THEN HAD A QUESTION ON A NON-RELATED MEL AND CALLED MAINT AGAIN FOR MORE INFO. THINGS WERE GETTING BUSY ON THE FLT DECK AND WE WERE GETTING NUMEROUS INTERRUPTIONS; INCREASING OUR WORKLOAD AND LIMITING OUR ABILITY TO COMPLETE CHKS AND OTHER DUTIES. WHILE I WAS ON A SECOND CELL PHONE CALL TO MAINT; THE FO WAS ACTUATING FLAPS AND SPOILERS AT THE REQUEST OF THE MECH. THE FO'S COCKPIT WINDOW WAS OPEN AND IT WAS NOISY. A CUSTOMER SVC AGENT ENTERED THE COCKPIT AND BEGAN TALKING LOUDLY ASKING 'WHEN ARE YOU DOING TO BE READY TO LEAVE? I NEED THIS GATE FOR ANOTHER ACFT.' I SAID 'I DON'T KNOW; I'M ON THE PHONE TRYING TO FIGURE THIS OUT; GIVE ME A MIN.' SHE SAID; 'I NEED TO KNOW NOW.' I SAID; 'JUST WAIT A MIN.' SHE THEN SAID; 'I'M NOT TALKING TO YOU; I'M TALKING TO HIM;' REFERRING TO THE FO. I SAID AGAIN; 'WAIT A MIN; I CAN'T HEAR WHEN YOU ARE TALKING; I AM ON THE PHONE.' SHE SAID A SECOND TIME; 'I AM NOT TALKING TO YOU; I AM TALKING TO HIM.' I THEN SAID; 'STOP.' THE MAINT CTLR ON THE PHONE HEARD THIS AND SAID TO ME; 'THROW HER OUT OF THE COCKPIT.' SHE SAID TO ME A THIRD TIME; 'I AM NOT TALKING TO YOU; I AM TALKING TO HIM.' SHE WAS RUDE; BELLIGERENT AND GROSSLY UNCONCERNED WITH THE SERIOUSNESS OF OUR DUTIES. SHE FINALLY STORMED OUT OF THE COCKPIT. LATER MY 'A' FLT ATTENDANT SAID SHE WAS TREATED IN A SIMILAR MANNER WHEN OUR 'A' TRIED TO GATE CHK FIRST CLASS PAX CARRY-ONS. ACCORDING TO THE FLT ATTENDANT; SHE RUDELY SAID 'PUT THEM IN THE OVERHEADS.' WHEN TOLD THAT THERE WAS NO ROOM; SHE AGAIN GOT RUDE. THIS IS A WONTON DISREGARD FOR FAA CABIN SAFETY REGS. I AM FILING ANOTHER RPT WITH ACR X AND ASKING A COMPLAINT BE FILED WITH ACR Y. I NEVER GOT THE AGENT'S NAME.