If you mention a particular secretary of state, your work will date very fast. Just refer to him as "the Secretary of State" and have the character address him as "Sir".
Everything we write is dated before it leaves our office. Dating does not harm a story in any way, and I have no idea where teh notion came from that it does. Having an unnamed secretary of state, or president, or anything else like this, just reads silly. Either use teh real name, or give him a fake one, but most just use teh real name, if teh work is set in teh present or teh past. Doing so harms nothing.
Worrying about dating your work makes no sense. If dating mattered at all, no one would read the classics, or any one of thousands of novels that do name real politicians and other historical figures.
Do you not even want readers to know what year your story takes place in? If they do know, they also know who was secretary of state, or president, or who teh most popular bands were. Any they will know, unless you make everything generic, including the technology teh characters use, or the buildings that exist, or the kind of cars people drive, etc.
If you think dating is bad, try a generic novel set in a world where where no politicians or historical figure has a name, where common technology doesn't exist, and nothing is named that might let a reader know what year it is. That's truly poor reading.
There is no possible way not to date your work, and readers just don't care. If they did, Shakespeare, Dickens, Hemingway, Asimov, Heinlein, and you name the writer, would be completely unread today.