At a cursory glance, the issue seems to be related to the fact that emacswiki.org supports only TLS1.1 and TLS1.2 - for comparison, archlinux.org supports TLS1.0, TLS1.1 and TLS1.2. Combining this with the fact that my Nokia N9 sports an ancient libssl 0.9.8r (which does support up to TLS 1.0) means that I cannot establish a connection to emacswiki.

If the above is correct, then the solution is indeed to bump up the openssl version to something more reasonable (fixing many security vulns at the same time).

As a side note, while many could argue that not connecting to emacswiki is not the end of the world, not supporting TLS 1.1 and up could be a very severe issue for at least the N9...