Bühl first played in various boys' teams of the SpVgg Untermünstertal before moving to the youth department of the Bundesliga club SC Freiburg in the summer of 2013.

For the 2016–17 season, Bühl moved up early to the women's team of Freiburg and made her debut on 11 September 2016 (2nd matchday) in the 5–0 victory in the home game against MSV Duisburg as a substitute for Lena Petermann in the Bundesliga.

She played in all five matches and won the Under-17 European Championship title after a 3–2 final victory in penalty shootout against the Spanish team.

In March 2017, she made her debut for the U-19 national team, with which she qualified for the Under-19 European Championship in Northern Ireland in the same year and reached the semi-finals there against France.

[6] On 28 February 2019, she was substituted for Verena Schweers in the 90th minute in a test match against France, thus completing her first game for the senior national team.

For the 2023 World Cup she crafted the team's mascot, a koala dressed in a white jumper bearing the German flag.