[x]

Since when does an "unspecified threat" warrant a security detail.

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You may be thinking of an "unspecific" or "non-specific" threat.

I'm thinking an "unspecified threat" is one that authorities don't want to give exact details about.

The actual threat could have been very specific indeed.

[philman_36]

I'm thinking an "unspecified threat" is one that authorities don't want to give exact details about.
That doesn't make any sense.

From the article I linked...
The man was questioned by the NYPD and the State Department and has not been charged, sources said.
And if it was a threat serious enough to warrant a security detail then why was he simply questioned and then released?

Strictly rhetorical. You need not answer.