At the Australian Rowing Championships in 2012, 2015 and 2016 she won the Nell Slater Trophy in the Interstate Women's Single Scull representing Victoria.

[9] Crow with her partner Sarah Cook finished fourth in the women's coxless pair B-Final at the 2008 Beijing Olympics.

At those 2016 Summer Olympics, Brennan won the women's single scull and took the gold medal, leading the race from start to finish.

In May 2019, Brennan was announced as Australia's joint Deputy Chef de Mission,[11] alongside fellow Olympians, Susie O'Neill and Evelyn Halls for the Tokyo 2020 Olympic Games.

[12] She teamed with Kerry Hore to win silver medals in the Women's double scull at the 2010 and 2011 World Rowing Championships.

[12] At the 2013 World Rowing Championships in Chungju, Crow won gold in the single scull taking a lead from the 300 m mark and holding it to the line.

She stated “While I’ve known within myself for some time that I am happy to leave my competitive rowing career behind me, the arrival of Jude has put the decision beyond any doubt.