Ben Swift had been part of a leading trio in the final kilometers, alongside Qhubeka-Nexthash's Harry Tanfield and Bahrain Victorious' Fred Wright.
The eight-day Tour de France Femmes marks the return of a women's edition of the French stage race after a decade-long absence.
Martin will feature in the men's elite individual time trial and the mixed team relay, which will be his final competitive road race.