What makes an interpretation acceptable?

All statements are interpretations, and all appeals to the facts, are themselves based on interpretations.

These interpretations arise out of the community, they are not subjective or individuals ones.

So meanings (interpretations) are cultural or socially available, they are not invented ex nihilio (out of nothing) by a previous single interpreter.

It follows that all interpretations especially those that deny their status as interpretations '...this is not coming from anywhere else this is my own interpration of the situation', are only possible on the basis of other interpretations, whose rules they affirm, while at the same time announcing their negations.

Recommended reading: Writing Culture The Poetics and Politics of Ethnography