Hi, when I submitted an application for my player minor faction last year I got a response (it was accepted) within 3 days.
So 2 months would suggest there was a problem. Are you sure nothing came back to the email account you used on the app, did you check it didnt go in the junk folder?
you normally hear back within the time frame of 3-7 days, FDev recommend opening a ticket if you haven't heard after 3 days. I would check your email from 3-7 days after you submitted chances are you got an email
When I submitted our Faction request, it took over a year, this was before all the changes where made with the system, we then re submitted and it took about 3 months. Have you tried bribing them with Lavian Brandy!