I think more depends on how bad the different programs will want her, although Army might be better.
kinnem -- you might be right for Navy or USMC . . .
A subtlety we discovered as we went through the medical waiver process was who the medical waiver authority actually was for each entity. For USNA, Navy ROTC, USMA, and AROTC, the medical waiver authorities are the Superintendents of the SAs or the Commanding General/Admiral for the ROTCs. The USMA/USNA/ROTC medical staffs "advise" those senior leaders, along with the admission staff members, so the Senior leader can weigh all the inputs and make a decision. Obviously some medical issues are an "easy no" but many are on the edge and it is left to the Senior to decide what is best for the Service. For USAFA and AFROTC it is different . . .
I'm not a military pilot/aviator, but my friends that were/are within the Air Force had a saying . . . "
Who is the most powerful military officer within the Air Force?" . . . most uninitiated would say "
the Chief of Staff of the Air Force", or "
the Commander Air Combat Command", or "
Commander US Air Forces Europe", etc . . . my pilot friends would then retort . . . "
Nope! . . . Its the Air Force Surgeon General/Flight Surgeon because he can take the Chief's / Commanding General's wings away!"
For USAFA and AFROTC, the USAFA Flight Surgeon and the Surgeon General for Air Education and Training Command (AETC) are independent from the USAFA Superintendent or the Commander AETC. They don't advise. They decide . . . no appeal. I think this comes from the early culture of the Air Corps where flight crews would return to base after each mission, and then the Flight Surgeon was making the choice and would tell the commander who could/should fly the next mission the next day. For Army, USMC and Navy I think it was different. You are forward deployed in the line of fire, or you are on board your ship. The "commander" may have been advised by the "doc" whether so-and-so was fit for duty, but the commander may have had to make a decision counter to the medical advice given, because in the commander's view, the best choice for the unit was to employ all "capable" members.
Others may have different experience or different opinions. This is how I have attempted to make sense this situation.