Focus on what your musical experience and education is. Don't focus on credentials or other things you don't have. Focus on what you can bring to teaching, what your strengths are. You might want to take time and examine any transferable skills you can bring into your teaching studio.
Pay will likely be less than degree holders or those in music school. However, this will give opportunity to you to find out how a music school works, and maybe give you ideas of what you would like or not like to do in your own studio.
Not every level of music student needs a teacher with a PhD in music. You may excel with a certain age group or level of music student. On the other hand know your limitations, and if you ever get a student that requires expertise far beyond your current capabilities know how to pass them on to another teacher gracefully. As someone without a music degree, you might find fellow teachers find ease at expressing certain concepts or feel that you have some gaps in knowledge, these things are often covered in university foundations courses. It is okay not to know something, as long as you take actions to do something about it, such as making effort to acquire additional skills in certain areas. Topics such as developing robust musicianship skills, dictation, transcription, sight singing, and developing a vocabulary of internationally recognizable musical concepts are not commonly taught in pre-university studies.
Write your cover letter and CV to highlight your music experiences. Where I live, music jobs (even those in neighbourhood music schools) tend to prefer CV to resume.
I'm not sure how much it will matter in the end because the academies I'm interested in teaching at all consist of degreed teachers, so not sure they are going to be interested in someone who doesn't have (or currently pursuing) a music degree.
Throughout this process, your aim as well as attitude should be to make the school interested about you, to make them want to know more, to generate enough interest that they call you for an interview.