In a letter published this week, she says her attorney will make a court filing if the military does not grant her requests.
Defense Secretary Chuck Hagel has ordered the head of the National Guard to look into the matter.
Karen Morgan, who was married to the late chief warrant officer and outspoken lesbian military activist Charlie Morgan, received a military ID card for the first time Wednesday.
Meanwhile, Fox News continues to refer to Chelsea as a man, using her given name, despite her August announcement that she's a transgender woman.
State National Guards in Texas, Mississippi, Louisiana, and Oklahoma must extend benefits to married gay and lesbian service members, say two leading congressional Democrats.
Ken Yasger, the first openly gay ranger in his unit, calls the pop star an inspiration.
The Department of Defense profiled a married gay military couple to help illuminate the benefits that are now available to gay and lesbian service members.
A new set of rules for chaplains states that Catholic military chaplains must not be forced to preside over any ceremonies in which the church must acknowledge a same-sex relationship.