You could not remove Françoise Asselin as mother of Jacques Pilet, because Françoise's profile is project-protected, meaning that to add or remove a parent, spouse or child to the profile, you must be a manager of the profile, or a project coordinator or project leader.
Normally such disconnections need to be discussed by the community, but, in this case, I see that the profile for Jacques Pilet was added as child without discussion or collaboration and without adding sources (this was done when project protection only blocked the change of parents. It would no longer be possible now) and the connection makes no sense as the names are completely different. So, I went ahead and disconnected the profile.
If new sources are discovered and it turns out that Jacques Pilet was really Françoise's son, he can be added back.