Gavory joined Metz in 2016. She made her league debut against Montpellier on 11 September 2016. Gavory scored her first league goal against Dijon on 1 December 2018, scoring in the 10th minute. After Metz' relegation in 2020, Gavory opted to leave Metz.
On 2 July2022, Gavory was announced at Le Havre on a two year contract. She made her league debut against Bordeaux on 10 September 2022. Gavory scored her first league goal against PSG on 2 October 2022, scoring in the 52nd minute. She scored again two weeks later against Soyaux on 15 October 2022, scoring in the 4th minute.