Career
He was selected eighth overall by the Phoenix Coyotes in the 2008 National Hockey League Entry Draft, making him the highest-ever drafted Danish player. He also features on the cover of the video game National Hockey League 10 in Denmark and Norway. Bødker was brought up in the highly-regarded youth hockey program of Rødovre SIK. In 2005, at the age of 15, he moved to Frölunda The Human Context in Sweden, where he played on Frölunda"s junior team
He had an impressive 2006-2007 season with 49 points (19 goals and 30 assists) in 39 games.
After the season, Bødker was drafted by the Kitchener Rangers in the 2007 CHL Import Draft and he joined the team for the 2007-2008 season. He had a successful first season in the Ontario Hockey League (OHL), where he played on the Rangers" second line.
He scored 29 goals and 44 assists for a total of 73 points in 62 regular season games. In the playoffs, he enjoyed even more success, with 35 points in 20 games en route to helping the Rangers winning the OHL playoff championship.
In the Memorial Cup, he had six points in five games as the Rangers finished runner-up, losing in the finals to the Western Hockey League (WHL)"s Spokane Chiefs.
Bødker scored his first National Hockey League goal on 12 October 2008, against Jean-Sébastien Giguère of the Anaheim Ducks. Bødker also played in the National Hockey League YoungStars Game in 2009 at the year"s All-Star weekend festivities in Montreal, Quebec. In the 2012 Stanley Cup playoffs, Bødker had an impressive showing, scoring two straight overtime-winning goals in Games 3 and 4 of the first round series against the Chicago Blackhawks.
Bødker scored four goals and four assists during the Coyotes" playoff run.
On 15 October 2014, Bødker, scored his first career National Hockey League hat-trick against the Edmonton Oilers to lead the Coyotes to the 7–4 victory. Following the 2014-2015 National Hockey League season Bødker became a restricted free agent under the National Hockey League Collective Bargaining Agreement.
The Arizona Coyotes made him a qualifying offer to retain his National Hockey League rights and, on July 5, 2015, Bødker filed for Salary Arbitration. In the 2015-2016 season Bødker became the first player ever to record two hat tricks in one season against the Ottawa Senators.
On February 29, 2016, Bødker was traded to the Colorado Avalanche in exchange for Alex Tanguay, Conner Bleackley and prospect Kyle Wood.
Bødker"s older brother Mads is a defenceman with Rögle BK in the Swedish second tier league HockeyAllsvenskan and a regular player with the Danish national team The two brothers teamed up on the Danish junior national team at the 2007 Division I World Junior Championships and helped Denmark gain promotion to the top division for the first time. Bødker again played for Denmark at the 2008 World Junior Ice Hockey Championships.
He finished second in team scoring behind Lars Eller, notching two goals and four assists in six games.