The Group H match at the National Stadium was called off on Tuesday night amid farcical scenes as two pitch inspections were split by a couple of fans splashing through the huge puddles on the playing surface before sliding into the penalty areas.
Thankfully, conditions had eased sufficiently by midnight for the roof to be closed, which means the match should get the go-ahead.
But Hodgson admits it will not be easy getting minds right after such a frustrating experience.
"The players know it is difficult for them to sleep at night after a game of football. But it's even harder when you've been resting all day and you've not had a game," Hodgson said.
"We are very unhappy about it, but what can we do.
"No-one decides whether it's going to rain, we just have to live with the situation."
With a number of their squad due to play league matches on Friday, the Polish Federation were reluctant to agree to today's game and suggested a November encounter instead.
However, with FIFA regulations stipulating the game should be rearranged for Wednesday and England already having a lucrative friendly in Gothenburg next month as part of the centenary celebrations of the Swedish Football Association, the FA stood firm.
The manner in which events unfolded was bizarre given that the National Stadium, built for Euro 2012, boasts a sliding roof.
Knowing rain was forecast, the FA asked on arrival on Monday whether it was going to be closed, but were told it was going to remain open.
By the time it became obvious the heavy rain that began falling at lunchtime was not going to stop, it was too late.
As many fans were left heading home disappointed on Wednesday morning, the Polish FA confirmed they would offer refunds to any England supporters with unused tickets.