A statement on behalf of QFA president Sheikh Hamad Bin Khalifa Bin Ahmed Al-Thani told Dyke that Qatar had nothing to hide over its controversial bid and urged him to make good on his pledge of trying to build an England team capable of winning the tournament.
"Mr Dyke's instinct to immediately focus on stripping Qatar of the World Cup speaks volumes on his views concerning what will be the first FIFA World Cup to take place in the Middle East," read the statement.
"We would urge Mr Dyke to let the legal process take its course and concentrate on delivering his promise to build an England team capable of winning the 2022 FIFA World Cup in Qatar."
The QFA was responding to remarks made by Dyke immediately after the dramatic resignation of Blatter on Tuesday, which followed the arrests of several top FIFA officials in a US corruption probe.
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Speaking on British television, Football Association chairman Dyke said: "If I was in Qatar, I wouldn't be very confident."
He added that Blatter's reaction to an article alleging corruption in Qatar's bid to host the 2022 World Cup in the British press had turned him against the outgoing FIFA president.
"I got very upset with Blatter a year ago after an excellent article in the Sunday Times regarding the awarding of the World Cup to Qatar," said Dyke. "He dismissed it as just being racist.