Presuming that she is located in Washington along with you, she can obtain an expedited US Passport at the Passport Agency in downtown Washington (see the link). She will need proof of travel and all of her completed forms (all available online), as well as photos which meet the exact specifications (just use the photo place next to the Passport Agency and don't create delays or problems).
https://travel.state.gov/content/pas...ashington.html
She faces several issues if she does not.
First, if she is a USN, AA will not accept anything other than a US Passport as proof of US citizenship. If that is an issue, AA may not permit her to board and the entire issue of what public officials do is never reached.
Second, the US requires that its Nationals travel on a US Passport. As a USN, she may not be denied entry to the US, but she may theoretically be fined for traveling on another nation's travel documents. (not very likely) and the process of clearing without a Passport may be a hassle.
All of this avoided if she simply obtains the US Passport which she ought to obtain anyway.