Acronym help
As a starting point, SPECTRE (in the Bond world) stood for "Special Executive for Counter-intelligence, Terrorism, Revenge and Extortion."
For your purposes, we have "Special Pathogens" as the obvious and perhaps essential starting point, and if it's a division of the CDC, that stands for Centers for Disease Control (and Prevention), so you have "Center" and "Control" as options for the C.
Ergo, Special Pathogens E------- Center/Control T------- R------- E-------
In keeping with the meaning of the original SPECTRE, I think "Special Pathogens Executive for Control, Testing, Research, and Eradication" works nicely.
Alternatives might include:
Special Pathogens Extension (of the CDC) for Control, Testing, Research, and Eradication
Special Pathogens Emergency Control Team Red-Eleven (as in "code red," and 11 is just an arbitrary designation, same as 007)
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FTR, I love thinking about stuff like this, so if you are not satisfied with any of the options you've been given so far, just LMK and I'll work on it some more.