Hillary and the Constitution

So I was just watching MSNBC News Today (I shouldn't have been, but I was relaxing for a few minutes, and so I turned the TV on), and they brought up this little tidbit from Article 1, Section 6 of the U.S. Constitution:

No Senator or Representative shall, during the time for which he was elected, be appointed to any civil office under the authority of the United States, which shall have been created, or the emoluments whereof shall have been increased during such time: and no person holding any office under the United States, shall be a member of either House during his continuance in office.

So you have to ask yourself, since 2001, has the Secretary of State gotten a raise? The answer is yes.

So you have to ask yourself, is the President-elect about to nominate someone who was a Senator or Representative since 2001?  The answer is yes.  

So Hillary cannot be appointed Secretary of State.  

So you have to ask yourself, how can they get past this?

UPDATE (5:41pm): I suppose the only way to get around that fully, if the literal word is to be followed, is to show that, in the particular line of the Article, it uses the pronoun "he" instead of "she." Other than that, it does seem pretty clear that she couldn't be legally, though I would like to see her as Secretary of State.