Do you want to point your subdomain to a subfolder, in which you plan to install Kirby? Or do you want to install Kirby in a subfolder and call it via a subfolder of the main domain?
mysite.fr/subdomain is not a subdomain, but a folder of the main domain name …
Installing Kirby in a subfolder usually should not be a problem, you might have to set the rewrite base in your .htaccess. But to be on the safe side, I would test this prior to putting it into production.
The better solution would be to get a second TLS certificate (or one that contains both domains) for your subdomain so that you don’t need to move the other project into a subfolder. There are free CAs like StartSSL or now Let’s Encrypt that support this.
@texnixe : I’m not so confortable as I would like with this type of things, so I prefer ask . @lukasbestle : Yes I saw it in Security Kirby but still hard for me to do it myself and tutoriels I found on the web are hard to anderstand.
Note: I would prefer give some money to someone who will teach me how to more than give money to ovh…