Pollitt pulled off a fingertip stop at full stretch to deny Kevin Gallen an 86th-minute winner.
Gareth Ainsworth put the home side ahead on five minutes, heading home Richard Johnson's left-wing cross as Rotherham appealed for offside in vain.
But debutant Paul Shaw took advantage of some slack Rangers defending in the 16th minute to nod in the equaliser.
Rotherham manager Ronnie Moore:
"The heat was unbelievable - you wouldn't put a dog out in that let
alone the players.
"The game could have gone either way.
"We allowed them a free header after a misunderstanding for the opening goal
and the keeper made a wonderful save at the end but I thought we finished the
QPR: Day, Bignot (Santos 81), Gnohere, Rose, Padula, Ainsworth,
Bean (Thorpe 82), Johnson, Rowlands (McLeod 82), Gallen,
Subs Not Used: Cole, Edghill.
Goals: Ainsworth 5.
Rotherham: Pollitt, Stockdale, Swailes, Gilchrist, Minto,
Sedgwick (Scott 84), Garner, Mullin (Vernazza 84), Shaw,
Proctor (Warne 77), Richard Barker.
Subs Not Used: Montgomery, Hurst.
Goals: Shaw 15.
Referee: P Armstrong (Berkshire).