NON ADHERENCE TO ATC CLRNC INSTRUCTION.

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WE HAD BEEN VECTORED OFF THE ARR (STRUK 8) FOR TFC TO GIVE US ADEQUATE SEPARATION FROM AN ACFT AHEAD OF US. WE WERE VECTORED W OF TNV VOR AND WHEN SEPARATION WAS ADEQUATE WE WERE TOLD TO PROCEED DIRECT TNV. WE WERE THEN TOLD TO CROSS MARIT AT 10000 FT. WE CROSSED MARIT AT 10000 FT AND 250 KTS BUT THE VECTORING HAD CAUSED US TO BE BEHIND SCHEDULE AND THE CAPT TOLD ME TO REQUEST DELETION OF THE 250 KT RESTR. WE WERE TALKING TO HOUSTON APCH. WHEN I REQUESTED THE DELETION OF THE 250 KTS RESTR APCH DID NOT RESPOND SO I ASKED THEM AGAIN. THE SECOND TIME THEY RESPONDED WITH 'DSND AND MAINTAIN 9000 FT.' I RESPONDED 'DOWN TO 9000 FT.' THE CAPT INITIATED A SLOW DSCNT. WE WERE ABOUT 5 DME PAST MARIT WHEN APCH SAID 'I TOLD YOU TO DSND TO 9000 FT. I NEED YOU TO DSND NOW!' WE THEN BEGAN TO EXPEDITE THE DSCNT. AT THE TIME THEY CALLED WE WERE AT ABOUT 9800 FT IN A VERY SLOW DSCNT. WE WERE NEVER TOLD TO EXPEDITE ON THE INITIAL CLRNC. WE WERE NOT APPRISED OF ANY ABNORMAL TFC SIT UNTIL LATER WHEN THE CTLR SAID HE NEEDED US AT 9000 FT NOW. THE CTLR THEN POINTED OUT THE TFC WHICH WE WERE WELL CLR OF (IT PASSED SEVERAL MI L AND OVER 1000 FT ABOVE OUR ALT). THE CTLR ASKED US TO GIVE HIM A CALL. WE FELT ALL ALONG WE WERE FOLLOWING THE CTLR'S INSTRUCTIONS AND WOULD HAVE INITIATED AN EXPEDITED DSCNT HAD APCH INITIALLY INFORMED US OF HIS PROB WITH THE DEP; OR IF HE HAD TOLD US WHERE HE NEEDED US AT 9000 FT BY. BASICALLY WE HAD NO IDEA THERE WAS A PROB UNTIL ABOUT 5 MI PAST MARIT WHEN HE CALLED AND TOLD US HE WANTED US AT 9000 FT NOW. FOR REF; TO BE SMOOTH; PWR REDUCTIONS FOR DSCNTS (WITH NO EXTENUATING CIRCUMSTANCES) USUALLY TAKES 3-5 MI. IF TOLD TO EXPEDITE DSCNT THROUGH AN ALT THIS WILL BE MODIFIED TO ACCOMMODATE ATC BUT WITH THE ABSENCE OF ANY DIRECTION FROM ATC OR ANY OTHER EXTENUATING CIRCUMSTANCES THE CAPT'S DSCNT WAS NORMAL FOR OUR PERCEIVED SIT. IT IS ALSO IMPORTANT TO NOTE THAT WHEN APCH INFORMED US OF THE PROB OUR REACTION WAS IMMEDIATE AND THE DSCNT TO 9000 FT WAS EXPEDITED. SUPPLEMENTAL INFO FROM ACN 318198: TOLD TO DSND TO 9000 FT. SLOW INITIATING DSCNT DUE TO STILL MAKING PA AT ABOVE 10000 FT AND SINCE WE WERE SO FAR OUT OF HOU; TOOK 9 MI TO REACH 9000 FT AND THIS CAUSED SOME PROB WITH APCH CTL. SORRY! MY FAULT!