We have a working website under the domain x.domain.tld. We want to add a wordpress to it in such way we have x.domain.tld/blog but install it on another server so we don't touch anything on this old (but working) one.

So can i start a new server, install wordpress on it, have an apache rediretion on x.domain.tld/blog to redirect to the new server IP WHILE keeping the domain name in the url for the clients ?

That doesn't look doable to me. And we're reluctant migrating the whole old application to a new server. Is there another way of doing it ?

Thank you for your help