A bit of overlap with the poster above, I'll just share the facts that she did earn her private pilot's license (PPL) while in high school a few years back, so she does technically check the box for her or others to say say "I'm a pilot" / She's a pilot. She can take single engine craft she is qualified up in the air by herself, take passengers within the airframe weight limit, fly without an instructor...
She did graduate USAFA/ commission and slotted to be a pilot - of course, she hasn't earned her AF wings/ instrument, commercial, multi engine ratings so there is a lot of flight training in her future. Her harvard work is as a grad student through a Truman scholarship studying public policy.
The plane she is shown in is a F-16D - there is a youtube video showing her going through a briefing, outfit fitting, and "O-flight" or orientation flight with a F-16 pilot out at Nellis AFB which she states was 3 weeks before she competed for Miss America (which she just won). I won't post but if you search "U.S. Air Force 2nd Lt. Madison Marsh (Miss Colorado) Gears Up for F-16D Familiarization Flight" you can see that process since a public affairs camera team was with her.
I agree it would be annoying if she was an undergrad and projected she was a pilot if she wasn't, but in this case there is some merit to those claims imo. Hard to tell tone sometimes, but no negative edge intended - I'm just sharing what I looked up in case it helps.