There is an interesting issue concerning Fermat's enemies and whether he may have felt a need to be watchful in his actions correspondingly, and specifically with regard to how he presented his method of adequality that could potentially run the risk of being found heretical because of its connection to the infinitely small, indivisibles and the decomposition of the continuum of indivisibles, and atomism.

(1) Fermat was a judge on the Parlement de Toulouse. He must have aggravated some people at the Parlement de Toulouse by seeking out help in Paris to get the appointment on the Chambre d'Edit in Castres. The king overruled the decision of the Parlement and named Fermat instead.

(2) The president of the Parlement seems to have been an enemy of Fermat. There is a document that was once secret that contains a character report on Fermat describing him as "interessé" and implying that he was unreliable. The damaging secret report was written by a crony of the President's.

(3) Descartes attacked Fermat's technique of adequality. This must have been well known at the time because Descartes was famous. It would be interesting to determine whether Fermat's enemies ever used this against him.

(4) According to Barner's interpretation of a capital case at the Parlement de Toulouse involving a priest named Delpoy, the latter was executed apparently over helping a Calvinist girl hide after she escaped from a re-education school. The execution apparently went against Fermat's recommendations. Fermat was reporting on this case but was not the one who ruled to execute the priest.

(5) Fermat was shocked by the Delpoy thing and couldn't concentrate on his math for at least a month, according to Kenelm Digby. There was a correspondence between Wallis and Fermat at the time through Digby that came to a standstill following the Delpoy affair.

I am seeking such information about Fermat's possible enemies and their actions against him in the context of sensitive events such as the indictment and execution of the priest Delpoy in order to gauge whether Fermat may have also been hesitant to be too frank about the foundations of his method of adequality because of possible theological risks involved and the possible use of this by his enemies.