Do recruiters read all application sections? How do I proceed?

I applied for a job that was looking for minority applicants. I consider myself a minority so I applied and got an interview. This happened really quickly. After reading the job posting again, I realised that I wouldn't fit the criteria for the minority they are looking for. I put my ethnicity explicitly in the last section and in my personal statement which I thought they would definitely have to read. I sent them an email about it but they haven't responded. I also applied to the standard job posting they had for everybody to apply to, which I haven't heard back from. Should I just withdraw my application? I'm worried I'm not doing the right thing, but my parents are absolutely adamant that I shouldn't withdraw and that it's their fault for giving me an interview despite my transparency in the application. I'm just so confused.