Two clear losses against Lyon and Bayern Munich had made Häcken a goalless and pointless jumbo in the tough Champions League group.
But after 1-0 in Lisbon, the situation is different.
The Gothenburg team started briskly and already after one minute, the national team player Johanna Rytting Kaneryd came to a good position.
The finish, however, went straight into the arms of Leticia in Benfica's goal.
Häcken was the more leading team during the first half, but the efficiency was not there.
Among other things, Stina Blackstenius managed a good position by shooting the ball a few meters over the crossbar.
Blackstenius in tears
Benfica came out clearly better in the second half and had an early dangerous free kick just outside the penalty area.
But Jennifer Falk stretched out her full length, saving and making sure the tie remained.
Five minutes later, the home team was even closer but the post saved Häcken that time.
After 58 minutes, Häcken had to be replaced by Stina Blackstenius.
The striker, whose contract expires at the turn of the year, was in tears when she sat on Häcken's replacement bench with a wrapped left knee.
Stina Blackstenius left with a feared injury. Photo: Bildbyrån.
A heavy break for Häcken who had to do without his goal shooter in the hunt for the first Champions League goal.
But it would still be a goal when Stine Larsen was torn down in the penalty area - and Häcken got the chance from eleven meters.
Elin Rubensson stepped forward and shot distinctly in 1-0 via the post and in.
Benfica pressed in the hunt for an equalizer but Häcken persevered, won 1-0 and the team's first victory in the Champions League is a fact.
The duo's last match
The victory puts Häcken in third place with three points, one behind Bayern Munich who lost away against undefeated Lyon 2-1.
It is also noteworthy that the match was the key duo Julia Zigiotti Olmes and Emma Kullberg's last in Häcken.
The duo's contract expires on November 15 and they will leave the club.