England finished the Super Sixes stage with a 15-run win over the White Ferns but it was not enough to book their place in the final after the West Indies pulled off a shock win over Australia to join them in the tournament's showpiece.
"I'm very proud of the way we've ended this match, but obviously bitterly disappointed in the grand scheme," Edwards told ecb.com after the win over New Zealand. "It's our own fault. Our inconsistency up front in the tournament has cost us and we're probably playing or best cricket now."
She added: "For the last two weeks it's been a rollercoaster for this team and we've dealt with it brilliantly. It's just disappointing that it's all ended but I'm very proud of the England dressing room right now.
"It's always a good contest between us and the Kiwis so we'll come back Friday, there's third place to play for and we'll all be looking for that."
Sarah Taylor hit 88 in the win over New Zealand, giving her a much-needed boost ahead of the rematch following three successive ducks in the competition.
Taylor said: "It's been a tough tournament for me and it's actually nice to contribute.
"It was just a little too late in terms of the competition. But it was nice to put runs on the board and help the team get into a position and the girls at the end did brilliantly as well.
"This is my natural game. After three ducks you just of think you might as well go out there and enjoy it because you can't do any worse. We're just looking forward to the next game."