League officials took the decision to postpone the encounter at White Hart Lane on police advice following the horrific riots in north London which started last weekend.
Everton will now launch their Premier League season at home to newly-promoted Queens Park Rangers next Saturday and Cahill is adamant that the right decision has been made.
The Australian told the Liverpool Daily Post: "First and foremost the safety of the people is the most important thing, but also the people who are doing their bit such as the police and ambulances and firemen.
"There are so many different ways of looking at it. Yes, we love football, and a lot of people have done a lot of planning to go to Tottenham and I feel for them.
"But this is a big thing. The welfare of people should be put first, and football can always continue afterwards anyway.
"The police and services in Tottenham need a rest, and there needs to be calm brought to the situation."
"Football will always be there, and it's something England should be proud of, having one of the best leagues in the world.
"But sorting out what the real problems are and what really effects the country should come first and foremost. I think it's a great decision, but understandably for fans who have bought their rail tickets or flights it'll be harder for them to take."
No new date has yet been announced for the fixture.