B767 CAPTAIN IS INFORMED OF ILL PAX REQUIRING MEDICAL ASSISTANCE AFTER PUSH BACK. REQUIREMENTS OF COMPANY OPERATIONS PERSONNEL DELAY ARRIVAL OF PARAMEDICS.

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IMMEDIATELY AFTER PUSHBACK; ABOUT TO TAXI OUT FROM ALLEYWAY FOR TKOF; FLT ATTENDANTS ADVISED OF SICK PAX. A PHYSICIAN ON BOARD STATED PAX NEEDED IMMEDIATE MEDICAL ATTN AND REMOVED FROM THE ACFT ASAP. PAX WAS RPTED TO BE EXTREMELY PALE; CLAMMY; LETHARGIC; ERRATIC PULSE; AND APPROX 60 YRS OLD. IN MY COMS WITH COMPANY OPS; THEY INSISTED PARAMEDICS REQUIRED SYMPTOMS BEFORE RESPONDING TO A CALL. THIS REQUEST WASTED VALUABLE TIME AND WHEN QUARRIED; THE PARAMEDICS SAID IT WAS NOT NECESSARY. WHEN AN ACFT GND-INTERRUPTS FOR A MEDICAL EMER; IT IS NOT THE TIME TO QUESTION THE JUDGEMENT OF THE CREW. MONDAY MORNING QUARTERBACKING CAN BE DISCUSSED ONCE THE MEDICAL CONDITION OF THE PAX IS ADDRESSED BY THE PROFESSIONALS. I SUGGEST GUIDANCE BE GIVEN TO CREWS TO CONTACT ATC TO COORDINATE REQUEST FOR MEDICAL ASSISTANCE VERSUS WASTING VALUABLE TIME THROUGH THE COMPANY NETWORK. ALSO; COMPANY RAMP TWR PERSONNEL SHOULD RECEIVE TRAINING ON APPROPRIATE HANDLING OF MEDICAL EMERS VERSUS FILLING THE SQUARES OF WHY A FLT IS DELAYED OR NEEDS TO RETURN TO THE GATE.