I agree with the other posters and indeed programs are very strict about how many students per instructor are allowed in the clinical setting so appealing is pointless and could even give your program director a bad first impression if you start things off by asking for special treatment...."I don't really think it's "special treatment" per se, just a chance for her to re-evaluate my application with this quarter's grades and a new TEAS score."
unless they are giving everyone elses grades a second look it is by definition "special treatment" to give you one.
Additionally you should keep in mind that nursing programs
are nothing like other associate degree programs they are extremely competitive and they only take the best students because they are not easy "but IT'S AN ADN program! It should have been a piece of cake for me to have gotten in."
is not the way to look at it.
" I am more than qualified for the program, but the issue is that EVERYONE is. Everyone is my class either already has a bachelor's or better in an unrelated field or has prior medical experience."
this is a much more accurate picture of things you may be very qualified but those who got in were even more so.
"At this point I need to get a real career and start real life ... I'm getting too old to be sitting around. "
you're not the only one in this position but it certainly isn't the fault of your program director and doesn't impact her acceptance decisions there is only one person you can blame for your situation.
So reapply next year get your CNA and go to work it will not only make you a better nursing school candidate but a better nurse..... and you never know maybe enough people will drop the program and you'll get a spot after all my school's ADN program went 11 deep into the wait list last year, unfortunately I was #15 ....Good luck!