So, see what you think. Also, how to get this actually as an SCP would be good information.
First, use the sandbox. It could be found in http://scpsandbox2.wikidot.com
Second, SCP is always an "it", regardless of appearance.
Third, the containment protocol is nonstandard for no apparent reason. Sure, it petrifies everyone it sees. No reason to give her four pillows. Medusa was a gorgon made from a humble priestess, not a goddess.
Fourth, this inert statue, is it only different rigidity from same material or total transmutation? I have a reason these idea has been done before, and requires a lot of adjustment to become an original article.
Addendum: we do have MTF to deal with "unseeable" SCP, forgot the name but the code was "see no evil"
Addendum 2 : I messed up my link. Now I'm really embarrassed.