Tour organisers ASO have also said they would press charges. "We are suing this woman who behaved so badly," race deputy director Pierre-Yves Thouault told AFP.
"We are doing this so that the tiny minority of people who do this don't spoil the show for everyone."
The fan was slammed by fans and riders alike on social media.
The riders who escaped unharmed waited for everyone impacted by the crash to rejoin the peloton, but disaster struck again with 7.5 kilometres to go, with a touch of wheels at high speed from a B&B Hotels rider causing another major crash, that saw riders fly off their bikes into a ditch.
The second crash caused a major shakeup in the overall race as well, with the surviving riders pushing on to the finish and leaving major contenders in their wake.
Amongst the big names to lose significant time was last-year's third place finisher Richie Porte, who lost two minutes and 16 seconds, while top climbers Miguel Angel Lopez (sixth last year) and Emanuel Buchmann (fourth in 2019) lost one minute and 49 seconds.
That crash saw two further riders have to abandon the race without completing a stage, and also had an impact on the finish to the stage, with the absence of several contenders and key teammates leaving a reduced group to battle it out.
Julian Alaphilippe, the charismatic world champion, took advantage, attacking on the steepest part of the final 3.2 kilometre climb, and impressively holding on to take victory by eight seconds, and claim the first yellow jersey.
Amongst a group of 20 riders eight seconds down were the two race favourites - the Slovenian duo of Tadej Pogacar and Primoz Roglic - with Roglic taking third place to snare four bonus seconds. Also in the group was former champion Geraint Thomas, while his teammate and fellow top contender Richard Carapaz arrived five seconds further back.
However, with many star riders crossing the line battered and bruised, the impacts of the two crashes - and one fan's actions - are likely to linger throughout the tour.
Stage two
Tour de France debutant Mathieu van der Poel snatched the race leader's yellow jersey with a win in the second stage overnight.
Van der Poel is the grandson of Tour great Raymond Poulidor who died in 2019. Poulidor took part in 14 Tours from 1962-76 but never wore the yellow jersey.
Van der Poel attacked in the sharp climb leading to the finish line at Mur-de-Bretagne to drop world champion Julian Alaphilippe. Van der Poel sealed his maiden stage win ahead of last year's champion Tadej Pogacar. Primoz Roglic was third. Alaphilippe had led after the first stage.