I have multiple entry Schengen visa from Italy and I flew to Italy but, at border control, I was refused entry because there was a mistake with my hotel reservation. I was repatriated back to South Africa.
I want to still fly back to Italy with the same visa because it is still valid.
How can I know if my visa was cancelled or if I still can use it?
From your description it seems likely that your visa is still valid. Since they had your passport already, if the border guards wanted to revoke or annul your visa, they would have altered the sticker and given you some document about your situation.
Being refused entry without annulling the visa is a situation foreseen by the regulations and official guidance so it's not necessarily that surprising. If that's really what happened to you then your visa is still valid and you can certainly re-enter the Schengen area. As explained in Can a person that has been refused entry to a Schengen country, re-enter to other Schengen country, if no visa is required?, being refused entry does not carry any sort of automatic ban. Currently, information about decisions to refuse entry are not even shared consistently.
