When your god decides to gift a non-artifact, they should actively avoid gifting any object type the player is already carrying in their inventory or, even more in depth, in any containers in their inventory. Though this raises the possibility of abuse (carrying lots of different candidate gear to make the god pick something else) and the possibility that a player will be sacrificing and hoping to get a certain thing, not remembering that they do already have one of that so they will never get gifted it.