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I can't think of any religion or culture in a song of ice and fire that are vegetarians so I wouldn't know what you could make the restrictions as.
You could make it so anyone could do it and then have some really well fine tuned ai chances.
 
Honestly I can't see it making sense in asoiaf.
You could limit it so gluttonous people do not take the decisions and just use the ai chances to fine tune the chance of the ai taking it.
 
I would say nearly all religions wouldn't be able to be vegetarians not because of any set code but just cause nobody in asoiaf really are vegetarians, I could see maybe the pacifist religions like the Natth religion possibly being vegetarians.
If I were you I would make it a player only decisions as being a vegetarian doesn't fit asoiaf imo as everyone loves eating meat to much :p