Writing that in your application would be seen as a red flag, if not a negative, on your application. It would be seen as making excuses, which is not a good look.
If you have true mental health issues, your guidance counselor should be familiar with that and you may ask him to include a note about it in his letter of recommendation.
So what can you do about your teacher? There are several options. You can do your best in the class, ask for extra help, ask for an appointment outside of class to go over wrong test answers or anything else you don’t understand. If your parents can afford it, you could hire a tutor. Also, buy some prep books and study for the AP test hard, outside of class. Use Khan Academy. Etc.
You choose how you react to the teacher. If you charge into the school year thinking she’s a monster, you’re probably going to struggle all year. If you go in knowing she is a fellow human who wants to help you, and recognizing that she is a professional whose job it is to teach you to understand the material (and it is your right and duty to call on her when you don’t), you’re going to get a better result. Ignore what other kids have said about her. Have the right mindset, give her a fair chance, and then make up your own mind.
CC posters have advised kids that, even if you don’t feel you did well, you may be able to ask your guidance counselor or your teacher how you did relative to the rest of the class. It is possible you can get a B- and still be #1 or #2 in the class. If that’s the case, you could ask your guidance counselor to mention that in his letter of recommendation. It takes a little of the sting off when colleges know you performed comparatively well.
You may also consider taking the class from an online high school. You would have to pay for it. There are pros and cons to making that decision, but given how many kids are e-learning this year, it probably won’t raise many eyebrows.