After 45 minutes of dancing, hyperbole and tributes to Nelson Mandela, a host of former World Cup stars selected the groups for next year's tournament - and for England fans it did not make comfortable viewing.
Italy, Uruguay and Costa Rica will be England's opponents at the World Cup.
One bookmaker lengthened England's odds to 40-1 from 25-1 and FA chairman Dyke appeared to dismiss the Three Lions' chances of progression.
Dyke, who wants England to win the 2022 World Cup, slid his index finger across his throat after England were placed in Group D.
He did not say a word to either Hodgson or Alex Horne, who were sat either side of him, but he did not need to.
The message from the gesture was clear - England are doomed.
Italy have won the World Cup four times and little over 12 months ago they knocked England out of Euro 2012.
Costa Rica may be World Cup minnows, but Uruguay have won the competition twice while their current side contains Edinson Cavani and Luis Suarez.
It is not only the calibre of opposition that will trouble England next summer. They will have to play their opening game in Manaus - the sweaty jungle city where humidity levels exceed 80 per cent.
Officials from the Italian and Costa Rican delegations described it as "the group of death".
That phrase is wheeled out at almost every draw, but in this instance, it seems very apt for England.
Still, Hodgson does not believe that D stands for death.
The England boss said before the draw that he would stake £10 on the Three Lions winning the tournament, and when asked if he still would do so, he said: "Why not? It's a tough group but we're not the only team that's in a tough group.
"I can't deny that it's not the group we would have plucked out for ourselves.
"I'm glad they (other managers) do all the nominating of names for the type of group it is. I'll just call it Group D.
"I think its going to be very tough. If it is a group what is being named, you'd think it's our presence in it that contributes to that. People are not going to be rubbing their hands with joy because they've got to play England."
Club England managing director Adrian Bevington said there was "a lot of banter" among the England delegation about Dyke's gesture, but said the FA chairman "felt the draw could've been a lot more difficult".
England will begin their World Cup campaign on June 14 against Italy in Manaus before they face Uruguay in Sao Paulo five days later. Their final group game takes place in Belo Horizonte - where England lost to the USA in 1950 - against Costa Rica.
Should England make it through they will face one of either Colombia, Greece, Ivory Coast or Japan. A quarter-final with either Spain or Brazil could then be on the cards - again in the heat of the north.
Hodgson highlighted Manaus as the worst possible venue earlier this week, but he does have two factors that will work in his favour.
Italy, as fellow Europeans, will also struggle to play in Manaus while the 9pm kick-off time means the temperature will drop to around 23 degrees centigrade.
FIFA is understood to be unwilling to relocate the game. Broadcasters may want the game to take place earlier, but England do not want that to happen.
"That's something for TV and FIFA and we have no control over it," Bevington added.
"But playing at 9pm in Manaus is clearly helpful from our side and from a football point of view.
"We can't deny that it's better to play in Manaus later in the day."
England are expected to fly to Manaus two days before the Italy game so they can become accustomed to the conditions.
England's director of team operations Michelle Farrer has already been dispatched to Manaus to check out conditions there.
England will clock up around 4,500 miles during the group stages.
The fact that they are playing in the southern city of Belo Horizonte does mean, at least, that they will be able to base themselves in Rio as they had wanted to.
Regardless of the where they play and at what time, there is no doubt that England are taking on A-grade opposition.
"Suarez is a top-class player and I came up against Cavani with Liverpool against Napoli," Hodgson said.
"I rate [Italy's] Mario Balotelli and Andrea Pirlo and lots of other players highly too."