Khadija Shaw scored twice as Manchester City beat Hammarby 2-1 to seal their place in the Women's Champions League quarter-finals.

Gareth Taylor's team entered Thursday's game with a perfect record in Group D, and their fourth win in as many European matches ensured they finished in the top two.

Shaw—the leading scorer in the Women's Super League this season with eight goals—put them ahead in the 31st minute, driving into the area after taking in Yui Hasegawa's pass before seeing her shot deflect into the top corner.

Shaw was booked for celebrating in front of the home fans despite appearing to have objects thrown at her from the stands, and Hammarby should have levelled when Julia Blakstad fired wide 10 minutes later.

The hosts did draw level three minutes into the second half as Ellen Wangerheim tapped home while City's Laura Blindkilde Brown was down appealing for a free-kick. 

That parity was short-lived, though, as Shaw blasted into the top corner from 25 yards out, taking her overall tally for this season to 12 goals in all competitions.

In Group C, meanwhile, Bayern Munich lost their perfect record as they played out a 1-1 draw with Valerenga, boosting Arsenal's hopes of topping the pile.

Jovana Damnjanovic came off the bench to put Bayern ahead 15 minutes from time in Norway, but Elise Thorsnes headed home following an 88th-minute corner to snatch a point for the hosts.

Arsenal could now move within a point of Bayern when they face Juventus in Group C's other match later on Thursday.

Pernille Harder's hat-trick handed Bayern Munich a winning start to their Women's Champions League campaign, beating Arsenal 5-2 in Group C. 

Harder, who scored 24 times in 48 appearances for Arsenal's London rivals Chelsea, once again haunted the Gunners, striking her first goals in the competition in almost two years.

After three games in the Women’s Super League, Arsenal sit sixth, having won once and drawn twice, with the latest defeat piling more pressure on head coach Jonas Eidevall. 

The Gunners started brightly and took the lead in the 30th minute when Katie McCabe's delivery was swept home by Mariona Caldentey. 

However, the hosts drew level two minutes before the break when Georgia Stanway's searching ball picked out the head of captain Glodis Viggosdottir, who towered over her marker to loop the ball beyond Manuela Zinsberger. 

Bayern then took the lead in the 56th minute as a fast break saw Sydney Lohmann finish at the near post, only for Eidevall's side to respond nine minutes later when McCabe's corner was headed home by Laia Codina. 

But the German champions found themselves back in front soon after with a corner routine of their own, with Harder netting her first of the encounter with a header from Carolin Simon's cross. 

The Dane then notched her second with another well-taken header, before sealing her treble with an effort from close range, despite the best efforts of Zinsberger. 

Harder recorded a staggering 1.59 expected goals (xG) tally of 1.59 to Bayern's 1.89 total, with Arsenal wasteful with their chances, with six of their nine shots on target but unable to trouble Maria Grohs for the most part. 

Elsewhere in the other early kick-off, Hammarby recorded a historic 2-0 victory over Austrian side St. Polten at the Tele2 Arena for their first triumph in the group stage of the competition. 

Vilde Hasund handed the hosts an early lead in the 18th minute with a brilliantly taken finish, striking the ball low into the bottom corner following Ellen Wangerheim's lay-off. 

The victory was sealed two minutes from time by substitute Cathinka Tandberg, who took a touch and placed the ball beyond Carina Schluter to put them top of Group D ahead of Manchester City's star-studded clash with Barcelona. 

Arsenal right-back Emily Fox says the chance to play in the Champions League drew her to the club as she relishes the "craziness" of the competition.

Fox joined the Gunners in January from NWSL side North Carolina Courage and has since made 18 appearances for them in all competitions.

She has proved a key figure for not only Arsenal since her move but also the United States, as she played in every game for Emma Hayes' side at the Paris Olympics, helping the team to win a fifth gold medal.

Fox has started all seven of Arsenal's matches across all competitions this season and was part of the team that overturned a first-leg deficit to beat Hacken 4-1 and qualify for the Champions League group stage.

Ahead of her debut in the tournament proper against Bayern Munich, Fox revealed the tournament played a key role in her decision to join Arsenal.

"I'm super excited. It's one of the main reasons why I decided to come to Arsenal," Fox said.

"Starting on Wednesday, playing Bayern Munich, I'm looking forward to it. All the late-night games and the craziness - I think we got a glimpse of it with all of our qualification games. I'm really excited."

Arsenal started the week with a frustrating 0-0 draw with Everton in the Women's Super League, and have the defending champions, Chelsea, next up after Bayern.

With the North London side fighting in four competitions this season, Fox has urged the team to take each game as it comes in order to get the best out of themselves.

"I think really just focusing on each and every game and not looking too far ahead," she added when asked what she had learned from the Olympics.

"I think, for example, this week we have three games in one week, which is a lot. So, I think really being present with that because it can get a little crazy if you look at it spread out and zoomed out."

Arsenal will also face Juventus and Valerenga in the Champions League group stage, with their campaign beginning on Wednesday in Munich.