Hey Idaho,
If both the PSN ID and Gamertag are unlinked from a Bungie.net profile, the profile will be orphaned. This is permanent, and access cannot be granted to an account that has been orphaned.
https://www.bungie.net/en/Help/Article/44390
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So can that clan and profile be deleted? It has all of our clan information and our clan name that we would like to use?
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Unfortunately not. If a clan is tied to an orphaned account, nothing can be done.