Althea Reinhardt made a big contribution to the win with 14 saves, while Ingvild Bakkerud stood out in attack, scoring seven goals.
At FTC, Emily Vogel and Katrin Klujber combined for half of their team's goals (16), but their effort was not enough to secure any points.
Odense were dominant for most of the match, with their biggest lead reaching four goals on a few occasions. In the 49th minute, they were up by three goals, 29-26, but then Nikita van der Vliet received a red card following a third two-minute suspension, and FTC scored three successive goals to draw level.
The visitors pulled in front again, but the last minutes proved very tense, and as Daria Dmitrieva missed a chance to equalise with 45 seconds to play, Bakkerud managed to seal Odense's hard-fought win.
"It was a tough match, a tough away game, but we’re happy that we could keep calm and take the win away. We were leading throughout the game, they came in, and it was a draw, but we were able to win at the end. I think it’s really good teamwork, and we’re happy. We always want to win and didn’t want to let them have a chance, so it absolutely worked", said Odense's Norwegian right back Thale Rushfeldt Deila after the match.