I believe, and obviously Jim will have better knowledge than me, inside knowledge as they say, but most modern ships can survive a roll up to five degrees to port or starboard, beyond that it's a lot harder to recover, but some vessels can list up to sixty degrees either direction and recover from it.
However in this instance, the list likely displaced cargo which exacerbated the problem and caused the fatal roll.
In regards to procedures, I'd have said that if the vessel made a continued list beyond five degrees without coming back to vertical then it's time to get people to the lifeboats, however I honestly don't know if that's writtne procedure. Jim might know more.
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