Vogt was born on 15 February 1990 to parents Erika and Ewald (the latter deceased 2007). She began playing tennis at age 5 and after playing with the Swiss junior team for some time, she turned professional in 2006. She simultaneously decided to move to Hungary to train with Zoltan Kuharszky, which would result in reaching the mid-200s of the WTA rankings in 2008. Moreover, it was announced that she had been awarded an invitation spot at the 2008 Summer Olympics in Beijing, but she was forced to withdraw due to a patella injury, which further required surgery. Knee rehabilitation took approximately 18 months, during which Vogt finished school before returning to the professional circuit in 2011. Vogt was given the honor of being Liechtenstein's flag bearer during the 2012 Summer Olympics in London and also represented Liechtenstein at the 2016 Summer Olympics. She was the highest-ranked tennis player to ever represent her country until her retirement in August 2016.
Her success on the ITF women's circuit in 2008 led to the ITF announcing that she had been given one of the two invitations into the main draw for the Summer Olympics in Beijing. However, she was forced to withdraw through injury and was replaced by Tamarine Tanasugarn.
She reached six ITF singles finals, winning three in Egypt, Slovenia, and The Netherlands. She also reached five ITF doubles finals, losing all five. At the 2011 Games of the Small States of Europe, held in Liechtenstein, Vogt won three gold medals. She defeated Kathinka von Deichmann in the final of the singles, whilst also partnering with von Deichmann to win the women's doubles. The mixed doubles was won with Jirka Lokaj. This built on her success from the 2007 Games, where she won a gold medal in the singles, before combining with Marina Novak to take silver in the doubles. She did not participate in the 2009 event.
In August, Vogt participated in her second Olympics. She lost in the first round to British Johanna Konta 6–3, 6–1. Afterwards Vogt later announced her retirement from professional tennis.
Vogt has won twelve singles and eleven doubles titles on the ITF tour in her career. On 24 February 2014, she reached her best singles ranking of world number 137. On 22 February 2016, she peaked at world number 69 in the doubles rankings.
