HDG TRACK DEV AROUND TSTM ACTIVITY. RPTR COMPLAINT OF LACK OF ARTCC RADAR CTLR COORD COM DURING EVENT.

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IN SUM: APPROX 150 NM E SE OF OCS; IN ZDV AIRSPACE (133.17); WE APCHED EMBEDDED TSTM. CAPT REQUESTED DEV TO THE R. ZDV DID NOT RESPOND AFTER 2 OR 3 ATTEMPTS TO CONTACT. AT 20 MI RANGE FROM TSTM; CAPT INSTRUCTED ME TO TURN R. DEV WAS MINOR; ABOUT 35 DEGS FOR 1 1/2 MINS. ZDV WAS INFORMED; BUT STILL DID NOT RESPOND. AS WE TURNED BACK TO PDT PER ORIGINAL CLRNC; ZDV WAS AGAIN INFORMED; THIS TIME RESPONDING WITH DISAPPROVAL OF OUR DEV WITHOUT CTR'S CONSENT. CAPT STATED THAT HE EXERCISED HIS EMER AUTH TO EFFECT THE DEV. SUPPLEMENTAL INFO FROM ACN 303657: ICING AND MODERATE TURB WAS ENCOUNTERED. I INFORMED THE CTLR AS WE MADE OUR TURN BACK TOWARD THE PDT VORTAC. THE CTLR THEN STARTED TO MAKE A BIG DEAL OF THE FACT THAT I DEVIATED WITHOUT HER CONSENT. A FEW SUBSEQUENT RADIO XMISSIONS ENSUED BTWN THE CTLR AND MYSELF. WILL BE ON TAPE WOULD THE CTLR CARE TO CONTINUE TO MAKE A BIG DEAL OF THIS MATTER. THE TCASII WAS MONITORED THROUGHOUT; NO ENCOUNTERS WERE PRESENT. HOWEVER; THE CTLR DID MAKE MENTION OF MIL ACFT CLBING TO FL310.