Hello Jérômee,
As per the description above, you are not getting the Adobe PDF Printer as a choice in Adobe Reader, Is that correct?
The Adobe PDF Printer functionality to create PDF files is only available with Adobe Acrobat (paid version), and not with Adobe Reader (free version).
Adobe PDF Printer gets installed automatically if you install Acrobat software on your computer. The record shows that you are not subscribed to Acrobat license/subscription and this is the reason you are not getting the Adobe PDF Printer as an option.
You can install the trial of Acrobat Pro and use it for 7 days and it will install the Adobe PDF Printer, however, once the trial is over, you will not be able to print to Adobe PDF Printer.
For detailed information about Acrobat's features and pricing details, you can refer to Adobe article Plans and pricing | Adobe Acrobat DC
Feel free to update this discussion for any further assistance.
Thanks,
Anand Sri.