So this is what is written in the notice in protected questions:
This question is protected to prevent "thanks!", "me too!", or spam answers by new users. To answer it, you must have earned at least 10 reputation on this site.
In my opinion, the phrase on this site is more important than the word reputation, therefore it should have the link (I have no comment on the linkification of that word though). This is based on my experience that although I had 101 rep on a site, I still didn't have 10 rep earned on that site, and this confused me for a while.