Skyler -- I am not a doctor.
You will need to describe your condition, on your DODMERB form. You will most likely receive a DQ.
USCGA will have to decide whether they want to pursue a waiver for you -- that will be based on your competitiveness for appointment.
We have experience with USMA and AROTC giving waivers for tree nut allergies, but I am uncertain waivers have been given for a peanut allergy -- especially if you have a severe peanut allergy. This is because peanuts are a cheap ready source of protein and are prevelent in MREs and military cooking. (Tree nuts not so much -- they are expensive and limited in use.) The concern is you having a reaction and becoming incapacitated and/or a burden to your unit while engaged in action (or at sea), or having limitations on your ability to deploy.
We know USAFA and AFROTC will not entertain a waiver for tree nut or peanut allergies unless you can prove via a supervised nut challenge that you are no longer sensitive to the nut.
We have no experience with USNA, NROTC, USCGA or USMMA on this issue but I suspect they are probably not too different from the what I stated above.
I have no experience with them, but you might contact "DoDMERB Consultants" . . . you can google them . . . They are a private company and you can pay them to help you with medical advice. Some people have had good results.
Best wishes to you. Thank you for your willingness to serve.